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Finding the Fourth Proportional to 24, 35.72 and 23.28

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Solution

The fourth proportional to 24, 35.72 and 23.28 is: 34.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24 : 35.72 = 23.28 : x
  2. Step 2: Convert to fraction form
    24/35.72 = 23.28/x
  3. Step 3: Cross multiply
    24x = 35.72 × 23.28
  4. Step 4: Simplify right side
    24x = 831.45
  5. Step 5: Solve for x
    x = 831.45/24
  6. Step 6: Final answer
    x = 34.64

Related Problems

Find fourth proportional to 12, 17.86 and 11.64
Half scale
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Double scale
Find fourth proportional to 25, 37.20 and 24.28
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.