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Finding the Fourth Proportional to 914.47, 1,371.72 and 298.24

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Solution

The fourth proportional to 914.47, 1,371.72 and 298.24 is: 447.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.47 : 1,371.72 = 298.24 : x
  2. Step 2: Convert to fraction form
    914.47/1,371.72 = 298.24/x
  3. Step 3: Cross multiply
    914.47x = 1,371.72 × 298.24
  4. Step 4: Simplify right side
    914.47x = 409,101.77
  5. Step 5: Solve for x
    x = 409,101.77/914.47
  6. Step 6: Final answer
    x = 447.36

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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.