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Finding the Fourth Proportional to 339.91, 510.02 and 249.36

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Solution

The fourth proportional to 339.91, 510.02 and 249.36 is: 374.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.91 : 510.02 = 249.36 : x
  2. Step 2: Convert to fraction form
    339.91/510.02 = 249.36/x
  3. Step 3: Cross multiply
    339.91x = 510.02 × 249.36
  4. Step 4: Simplify right side
    339.91x = 127,178.59
  5. Step 5: Solve for x
    x = 127,178.59/339.91
  6. Step 6: Final answer
    x = 374.15

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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.