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Finding the Fourth Proportional to 97.74, 145.64 and 86.97

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Solution

The fourth proportional to 97.74, 145.64 and 86.97 is: 129.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.74 : 145.64 = 86.97 : x
  2. Step 2: Convert to fraction form
    97.74/145.64 = 86.97/x
  3. Step 3: Cross multiply
    97.74x = 145.64 × 86.97
  4. Step 4: Simplify right side
    97.74x = 12,666.20
  5. Step 5: Solve for x
    x = 12,666.20/97.74
  6. Step 6: Final answer
    x = 129.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.