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Finding the Fourth Proportional to 356.31, 489.72 and 314.61

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Solution

The fourth proportional to 356.31, 489.72 and 314.61 is: 432.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.31 : 489.72 = 314.61 : x
  2. Step 2: Convert to fraction form
    356.31/489.72 = 314.61/x
  3. Step 3: Cross multiply
    356.31x = 489.72 × 314.61
  4. Step 4: Simplify right side
    356.31x = 154,069.24
  5. Step 5: Solve for x
    x = 154,069.24/356.31
  6. Step 6: Final answer
    x = 432.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.