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Finding the Fourth Proportional to 915.92, 1,373.98 and 257.80

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Solution

The fourth proportional to 915.92, 1,373.98 and 257.80 is: 386.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.92 : 1,373.98 = 257.80 : x
  2. Step 2: Convert to fraction form
    915.92/1,373.98 = 257.80/x
  3. Step 3: Cross multiply
    915.92x = 1,373.98 × 257.80
  4. Step 4: Simplify right side
    915.92x = 354,212.04
  5. Step 5: Solve for x
    x = 354,212.04/915.92
  6. Step 6: Final answer
    x = 386.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.