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Finding the Fourth Proportional to 369.16, 508.82 and 314.04

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Solution

The fourth proportional to 369.16, 508.82 and 314.04 is: 432.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.16 : 508.82 = 314.04 : x
  2. Step 2: Convert to fraction form
    369.16/508.82 = 314.04/x
  3. Step 3: Cross multiply
    369.16x = 508.82 × 314.04
  4. Step 4: Simplify right side
    369.16x = 159,789.83
  5. Step 5: Solve for x
    x = 159,789.83/369.16
  6. Step 6: Final answer
    x = 432.85

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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.