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Finding the Fourth Proportional to 61.84, 85.24 and 42.40

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Solution

The fourth proportional to 61.84, 85.24 and 42.40 is: 58.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.84 : 85.24 = 42.40 : x
  2. Step 2: Convert to fraction form
    61.84/85.24 = 42.40/x
  3. Step 3: Cross multiply
    61.84x = 85.24 × 42.40
  4. Step 4: Simplify right side
    61.84x = 3,614.18
  5. Step 5: Solve for x
    x = 3,614.18/61.84
  6. Step 6: Final answer
    x = 58.44

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