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Finding the Fourth Proportional to 305.52, 456.06 and 282.66

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Solution

The fourth proportional to 305.52, 456.06 and 282.66 is: 421.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.52 : 456.06 = 282.66 : x
  2. Step 2: Convert to fraction form
    305.52/456.06 = 282.66/x
  3. Step 3: Cross multiply
    305.52x = 456.06 × 282.66
  4. Step 4: Simplify right side
    305.52x = 128,909.92
  5. Step 5: Solve for x
    x = 128,909.92/305.52
  6. Step 6: Final answer
    x = 421.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.