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Finding the Fourth Proportional to 914.56, 1,371.62 and 265.34

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Solution

The fourth proportional to 914.56, 1,371.62 and 265.34 is: 397.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.56 : 1,371.62 = 265.34 : x
  2. Step 2: Convert to fraction form
    914.56/1,371.62 = 265.34/x
  3. Step 3: Cross multiply
    914.56x = 1,371.62 × 265.34
  4. Step 4: Simplify right side
    914.56x = 363,945.65
  5. Step 5: Solve for x
    x = 363,945.65/914.56
  6. Step 6: Final answer
    x = 397.95

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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.