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Finding the Fourth Proportional to 61.94, 85.40 and 42.30

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Solution

The fourth proportional to 61.94, 85.40 and 42.30 is: 58.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.94 : 85.40 = 42.30 : x
  2. Step 2: Convert to fraction form
    61.94/85.40 = 42.30/x
  3. Step 3: Cross multiply
    61.94x = 85.40 × 42.30
  4. Step 4: Simplify right side
    61.94x = 3,612.42
  5. Step 5: Solve for x
    x = 3,612.42/61.94
  6. Step 6: Final answer
    x = 58.32

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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.