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Finding the Fourth Proportional to 40, 55.20 and 22.76

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Solution

The fourth proportional to 40, 55.20 and 22.76 is: 31.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    40 : 55.20 = 22.76 : x
  2. Step 2: Convert to fraction form
    40/55.20 = 22.76/x
  3. Step 3: Cross multiply
    40x = 55.20 × 22.76
  4. Step 4: Simplify right side
    40x = 1,256.35
  5. Step 5: Solve for x
    x = 1,256.35/40
  6. Step 6: Final answer
    x = 31.41

Related Problems

Find fourth proportional to 20, 27.60 and 11.38
Half scale
Find fourth proportional to 80, 110.40 and 45.52
Double scale
Find fourth proportional to 41, 56.58 and 23.76
Similar ratio
Find fourth proportional to 60, 82.80 and 34.14
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.