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Finding the Fourth Proportional to 458.45, 632.78 and 292.80

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Solution

The fourth proportional to 458.45, 632.78 and 292.80 is: 404.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.45 : 632.78 = 292.80 : x
  2. Step 2: Convert to fraction form
    458.45/632.78 = 292.80/x
  3. Step 3: Cross multiply
    458.45x = 632.78 × 292.80
  4. Step 4: Simplify right side
    458.45x = 185,277.98
  5. Step 5: Solve for x
    x = 185,277.98/458.45
  6. Step 6: Final answer
    x = 404.14

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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.