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Finding the Fourth Proportional to 97.43, 134.54 and 64.70

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Solution

The fourth proportional to 97.43, 134.54 and 64.70 is: 89.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.43 : 134.54 = 64.70 : x
  2. Step 2: Convert to fraction form
    97.43/134.54 = 64.70/x
  3. Step 3: Cross multiply
    97.43x = 134.54 × 64.70
  4. Step 4: Simplify right side
    97.43x = 8,705.24
  5. Step 5: Solve for x
    x = 8,705.24/97.43
  6. Step 6: Final answer
    x = 89.35

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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.