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Finding the Fourth Proportional to 85.07, 117.29 and 58.85

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Solution

The fourth proportional to 85.07, 117.29 and 58.85 is: 81.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.07 : 117.29 = 58.85 : x
  2. Step 2: Convert to fraction form
    85.07/117.29 = 58.85/x
  3. Step 3: Cross multiply
    85.07x = 117.29 × 58.85
  4. Step 4: Simplify right side
    85.07x = 6,901.64
  5. Step 5: Solve for x
    x = 6,901.64/85.07
  6. Step 6: Final answer
    x = 81.13

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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.