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Finding the Fourth Proportional to 915.64, 1,373.14 and 299.20

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Solution

The fourth proportional to 915.64, 1,373.14 and 299.20 is: 448.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.64 : 1,373.14 = 299.20 : x
  2. Step 2: Convert to fraction form
    915.64/1,373.14 = 299.20/x
  3. Step 3: Cross multiply
    915.64x = 1,373.14 × 299.20
  4. Step 4: Simplify right side
    915.64x = 410,843.49
  5. Step 5: Solve for x
    x = 410,843.49/915.64
  6. Step 6: Final answer
    x = 448.70

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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.