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Finding the Fourth Proportional to 369.52, 510.08 and 249.92

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Solution

The fourth proportional to 369.52, 510.08 and 249.92 is: 344.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.52 : 510.08 = 249.92 : x
  2. Step 2: Convert to fraction form
    369.52/510.08 = 249.92/x
  3. Step 3: Cross multiply
    369.52x = 510.08 × 249.92
  4. Step 4: Simplify right side
    369.52x = 127,479.19
  5. Step 5: Solve for x
    x = 127,479.19/369.52
  6. Step 6: Final answer
    x = 344.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.