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Finding the Fourth Proportional to 237.47, 357.65 and 220.56

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Solution

The fourth proportional to 237.47, 357.65 and 220.56 is: 332.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.47 : 357.65 = 220.56 : x
  2. Step 2: Convert to fraction form
    237.47/357.65 = 220.56/x
  3. Step 3: Cross multiply
    237.47x = 357.65 × 220.56
  4. Step 4: Simplify right side
    237.47x = 78,882.18
  5. Step 5: Solve for x
    x = 78,882.18/237.47
  6. Step 6: Final answer
    x = 332.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.