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Finding the Fourth Proportional to 458.92, 632.88 and 301.69

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Solution

The fourth proportional to 458.92, 632.88 and 301.69 is: 416.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.92 : 632.88 = 301.69 : x
  2. Step 2: Convert to fraction form
    458.92/632.88 = 301.69/x
  3. Step 3: Cross multiply
    458.92x = 632.88 × 301.69
  4. Step 4: Simplify right side
    458.92x = 190,930.42
  5. Step 5: Solve for x
    x = 190,930.42/458.92
  6. Step 6: Final answer
    x = 416.04

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