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Finding the Fourth Proportional to 242.78, 337 and 237.02

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Solution

The fourth proportional to 242.78, 337 and 237.02 is: 329.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.78 : 337 = 237.02 : x
  2. Step 2: Convert to fraction form
    242.78/337 = 237.02/x
  3. Step 3: Cross multiply
    242.78x = 337 × 237.02
  4. Step 4: Simplify right side
    242.78x = 79,875.74
  5. Step 5: Solve for x
    x = 79,875.74/242.78
  6. Step 6: Final answer
    x = 329.00

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.