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Finding the Fourth Proportional to 542.65, 812.95 and 250.39

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Solution

The fourth proportional to 542.65, 812.95 and 250.39 is: 375.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.65 : 812.95 = 250.39 : x
  2. Step 2: Convert to fraction form
    542.65/812.95 = 250.39/x
  3. Step 3: Cross multiply
    542.65x = 812.95 × 250.39
  4. Step 4: Simplify right side
    542.65x = 203,556.35
  5. Step 5: Solve for x
    x = 203,556.35/542.65
  6. Step 6: Final answer
    x = 375.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.