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Finding the Fourth Proportional to 915.11, 1,371.65 and 359.40

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Solution

The fourth proportional to 915.11, 1,371.65 and 359.40 is: 538.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.11 : 1,371.65 = 359.40 : x
  2. Step 2: Convert to fraction form
    915.11/1,371.65 = 359.40/x
  3. Step 3: Cross multiply
    915.11x = 1,371.65 × 359.40
  4. Step 4: Simplify right side
    915.11x = 492,974.36
  5. Step 5: Solve for x
    x = 492,974.36/915.11
  6. Step 6: Final answer
    x = 538.71

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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.