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Finding the Fourth Proportional to 24.01, 35.77 and 21.58

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Solution

The fourth proportional to 24.01, 35.77 and 21.58 is: 32.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.01 : 35.77 = 21.58 : x
  2. Step 2: Convert to fraction form
    24.01/35.77 = 21.58/x
  3. Step 3: Cross multiply
    24.01x = 35.77 × 21.58
  4. Step 4: Simplify right side
    24.01x = 771.81
  5. Step 5: Solve for x
    x = 771.81/24.01
  6. Step 6: Final answer
    x = 32.15

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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.