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Finding the Fourth Proportional to 356.32, 489.10 and 316.09

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Solution

The fourth proportional to 356.32, 489.10 and 316.09 is: 433.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.32 : 489.10 = 316.09 : x
  2. Step 2: Convert to fraction form
    356.32/489.10 = 316.09/x
  3. Step 3: Cross multiply
    356.32x = 489.10 × 316.09
  4. Step 4: Simplify right side
    356.32x = 154,601.61
  5. Step 5: Solve for x
    x = 154,601.61/356.32
  6. Step 6: Final answer
    x = 433.89

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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.