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Finding the Fourth Proportional to 97.43, 145.45 and 86.63

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Solution

The fourth proportional to 97.43, 145.45 and 86.63 is: 129.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.43 : 145.45 = 86.63 : x
  2. Step 2: Convert to fraction form
    97.43/145.45 = 86.63/x
  3. Step 3: Cross multiply
    97.43x = 145.45 × 86.63
  4. Step 4: Simplify right side
    97.43x = 12,599.28
  5. Step 5: Solve for x
    x = 12,599.28/97.43
  6. Step 6: Final answer
    x = 129.32

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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.