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Finding the Fourth Proportional to 61.32, 92.41 and 52.42

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Solution

The fourth proportional to 61.32, 92.41 and 52.42 is: 79.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.32 : 92.41 = 52.42 : x
  2. Step 2: Convert to fraction form
    61.32/92.41 = 52.42/x
  3. Step 3: Cross multiply
    61.32x = 92.41 × 52.42
  4. Step 4: Simplify right side
    61.32x = 4,844.13
  5. Step 5: Solve for x
    x = 4,844.13/61.32
  6. Step 6: Final answer
    x = 79.00

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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.