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Finding the Fourth Proportional to 458.86, 632.91 and 309.55

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Solution

The fourth proportional to 458.86, 632.91 and 309.55 is: 426.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.86 : 632.91 = 309.55 : x
  2. Step 2: Convert to fraction form
    458.86/632.91 = 309.55/x
  3. Step 3: Cross multiply
    458.86x = 632.91 × 309.55
  4. Step 4: Simplify right side
    458.86x = 195,917.29
  5. Step 5: Solve for x
    x = 195,917.29/458.86
  6. Step 6: Final answer
    x = 426.97

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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.