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Finding the Fourth Proportional to 915.96, 1,374.22 and 291.22

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Solution

The fourth proportional to 915.96, 1,374.22 and 291.22 is: 436.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.96 : 1,374.22 = 291.22 : x
  2. Step 2: Convert to fraction form
    915.96/1,374.22 = 291.22/x
  3. Step 3: Cross multiply
    915.96x = 1,374.22 × 291.22
  4. Step 4: Simplify right side
    915.96x = 400,200.35
  5. Step 5: Solve for x
    x = 400,200.35/915.96
  6. Step 6: Final answer
    x = 436.92

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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.