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Finding the Fourth Proportional to 458, 632 and 310.56

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Solution

The fourth proportional to 458, 632 and 310.56 is: 428.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    458 : 632 = 310.56 : x
  2. Step 2: Convert to fraction form
    458/632 = 310.56/x
  3. Step 3: Cross multiply
    458x = 632 × 310.56
  4. Step 4: Simplify right side
    458x = 196,273.92
  5. Step 5: Solve for x
    x = 196,273.92/458
  6. Step 6: Final answer
    x = 428.55

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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.