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Finding the Fourth Proportional to 147, 220.33 and 64.69

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Solution

The fourth proportional to 147, 220.33 and 64.69 is: 96.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    147 : 220.33 = 64.69 : x
  2. Step 2: Convert to fraction form
    147/220.33 = 64.69/x
  3. Step 3: Cross multiply
    147x = 220.33 × 64.69
  4. Step 4: Simplify right side
    147x = 14,253.15
  5. Step 5: Solve for x
    x = 14,253.15/147
  6. Step 6: Final answer
    x = 96.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.