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Finding the Fourth Proportional to 915.96, 1,373.46 and 299.27

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Solution

The fourth proportional to 915.96, 1,373.46 and 299.27 is: 448.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.96 : 1,373.46 = 299.27 : x
  2. Step 2: Convert to fraction form
    915.96/1,373.46 = 299.27/x
  3. Step 3: Cross multiply
    915.96x = 1,373.46 × 299.27
  4. Step 4: Simplify right side
    915.96x = 411,028.51
  5. Step 5: Solve for x
    x = 411,028.51/915.96
  6. Step 6: Final answer
    x = 448.74

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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.