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Finding the Fourth Proportional to 39.42, 59.42 and 36.64

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Solution

The fourth proportional to 39.42, 59.42 and 36.64 is: 55.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.42 : 59.42 = 36.64 : x
  2. Step 2: Convert to fraction form
    39.42/59.42 = 36.64/x
  3. Step 3: Cross multiply
    39.42x = 59.42 × 36.64
  4. Step 4: Simplify right side
    39.42x = 2,177.15
  5. Step 5: Solve for x
    x = 2,177.15/39.42
  6. Step 6: Final answer
    x = 55.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.