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Finding the Fourth Proportional to 369.29, 510.14 and 349.85

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Solution

The fourth proportional to 369.29, 510.14 and 349.85 is: 483.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.29 : 510.14 = 349.85 : x
  2. Step 2: Convert to fraction form
    369.29/510.14 = 349.85/x
  3. Step 3: Cross multiply
    369.29x = 510.14 × 349.85
  4. Step 4: Simplify right side
    369.29x = 178,470.73
  5. Step 5: Solve for x
    x = 178,470.73/369.29
  6. Step 6: Final answer
    x = 483.28

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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.