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Finding the Fourth Proportional to 237.98, 355.06 and 207.20

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Solution

The fourth proportional to 237.98, 355.06 and 207.20 is: 309.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.98 : 355.06 = 207.20 : x
  2. Step 2: Convert to fraction form
    237.98/355.06 = 207.20/x
  3. Step 3: Cross multiply
    237.98x = 355.06 × 207.20
  4. Step 4: Simplify right side
    237.98x = 73,568.43
  5. Step 5: Solve for x
    x = 73,568.43/237.98
  6. Step 6: Final answer
    x = 309.14

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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.