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Finding the Fourth Proportional to 542.65, 814.03 and 250.16

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Solution

The fourth proportional to 542.65, 814.03 and 250.16 is: 375.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.65 : 814.03 = 250.16 : x
  2. Step 2: Convert to fraction form
    542.65/814.03 = 250.16/x
  3. Step 3: Cross multiply
    542.65x = 814.03 × 250.16
  4. Step 4: Simplify right side
    542.65x = 203,638.37
  5. Step 5: Solve for x
    x = 203,638.37/542.65
  6. Step 6: Final answer
    x = 375.27

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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.