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Finding the Fourth Proportional to 71.69, 108.06 and 58.32

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Solution

The fourth proportional to 71.69, 108.06 and 58.32 is: 87.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.69 : 108.06 = 58.32 : x
  2. Step 2: Convert to fraction form
    71.69/108.06 = 58.32/x
  3. Step 3: Cross multiply
    71.69x = 108.06 × 58.32
  4. Step 4: Simplify right side
    71.69x = 6,302.06
  5. Step 5: Solve for x
    x = 6,302.06/71.69
  6. Step 6: Final answer
    x = 87.91

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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.