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Finding the Fourth Proportional to 542.99, 814.50 and 338.15

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Solution

The fourth proportional to 542.99, 814.50 and 338.15 is: 507.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.99 : 814.50 = 338.15 : x
  2. Step 2: Convert to fraction form
    542.99/814.50 = 338.15/x
  3. Step 3: Cross multiply
    542.99x = 814.50 × 338.15
  4. Step 4: Simplify right side
    542.99x = 275,423.18
  5. Step 5: Solve for x
    x = 275,423.18/542.99
  6. Step 6: Final answer
    x = 507.23

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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.