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Finding the Fourth Proportional to 237.14, 325.47 and 217.70

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Solution

The fourth proportional to 237.14, 325.47 and 217.70 is: 298.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.14 : 325.47 = 217.70 : x
  2. Step 2: Convert to fraction form
    237.14/325.47 = 217.70/x
  3. Step 3: Cross multiply
    237.14x = 325.47 × 217.70
  4. Step 4: Simplify right side
    237.14x = 70,854.82
  5. Step 5: Solve for x
    x = 70,854.82/237.14
  6. Step 6: Final answer
    x = 298.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.