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Finding the Fourth Proportional to 715.30, 1,073.10 and 221.71

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Solution

The fourth proportional to 715.30, 1,073.10 and 221.71 is: 332.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.30 : 1,073.10 = 221.71 : x
  2. Step 2: Convert to fraction form
    715.30/1,073.10 = 221.71/x
  3. Step 3: Cross multiply
    715.30x = 1,073.10 × 221.71
  4. Step 4: Simplify right side
    715.30x = 237,917.00
  5. Step 5: Solve for x
    x = 237,917.00/715.30
  6. Step 6: Final answer
    x = 332.61

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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.