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Finding the Fourth Proportional to 372.78, 514.50 and 242.03

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Solution

The fourth proportional to 372.78, 514.50 and 242.03 is: 334.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.78 : 514.50 = 242.03 : x
  2. Step 2: Convert to fraction form
    372.78/514.50 = 242.03/x
  3. Step 3: Cross multiply
    372.78x = 514.50 × 242.03
  4. Step 4: Simplify right side
    372.78x = 124,521.86
  5. Step 5: Solve for x
    x = 124,521.86/372.78
  6. Step 6: Final answer
    x = 334.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.