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Finding the Fourth Proportional to 61.07, 84.25 and 40.32

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Solution

The fourth proportional to 61.07, 84.25 and 40.32 is: 55.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.07 : 84.25 = 40.32 : x
  2. Step 2: Convert to fraction form
    61.07/84.25 = 40.32/x
  3. Step 3: Cross multiply
    61.07x = 84.25 × 40.32
  4. Step 4: Simplify right side
    61.07x = 3,396.78
  5. Step 5: Solve for x
    x = 3,396.78/61.07
  6. Step 6: Final answer
    x = 55.62

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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.