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Finding the Fourth Proportional to 458.99, 634.28 and 341.13

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Solution

The fourth proportional to 458.99, 634.28 and 341.13 is: 471.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.99 : 634.28 = 341.13 : x
  2. Step 2: Convert to fraction form
    458.99/634.28 = 341.13/x
  3. Step 3: Cross multiply
    458.99x = 634.28 × 341.13
  4. Step 4: Simplify right side
    458.99x = 216,372.79
  5. Step 5: Solve for x
    x = 216,372.79/458.99
  6. Step 6: Final answer
    x = 471.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.