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Finding the Fourth Proportional to 339.91, 510.17 and 253.04

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Solution

The fourth proportional to 339.91, 510.17 and 253.04 is: 379.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.91 : 510.17 = 253.04 : x
  2. Step 2: Convert to fraction form
    339.91/510.17 = 253.04/x
  3. Step 3: Cross multiply
    339.91x = 510.17 × 253.04
  4. Step 4: Simplify right side
    339.91x = 129,093.42
  5. Step 5: Solve for x
    x = 129,093.42/339.91
  6. Step 6: Final answer
    x = 379.79

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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.