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Finding the Fourth Proportional to 237.87, 355.10 and 207.11

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Solution

The fourth proportional to 237.87, 355.10 and 207.11 is: 309.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.87 : 355.10 = 207.11 : x
  2. Step 2: Convert to fraction form
    237.87/355.10 = 207.11/x
  3. Step 3: Cross multiply
    237.87x = 355.10 × 207.11
  4. Step 4: Simplify right side
    237.87x = 73,543.73
  5. Step 5: Solve for x
    x = 73,543.73/237.87
  6. Step 6: Final answer
    x = 309.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.