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Finding the Fourth Proportional to 305.39, 458.09 and 283.52

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Solution

The fourth proportional to 305.39, 458.09 and 283.52 is: 425.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.39 : 458.09 = 283.52 : x
  2. Step 2: Convert to fraction form
    305.39/458.09 = 283.52/x
  3. Step 3: Cross multiply
    305.39x = 458.09 × 283.52
  4. Step 4: Simplify right side
    305.39x = 129,873.97
  5. Step 5: Solve for x
    x = 129,873.97/305.39
  6. Step 6: Final answer
    x = 425.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.