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Finding the Fourth Proportional to 303.09, 454.53 and 86.61

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Solution

The fourth proportional to 303.09, 454.53 and 86.61 is: 129.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.09 : 454.53 = 86.61 : x
  2. Step 2: Convert to fraction form
    303.09/454.53 = 86.61/x
  3. Step 3: Cross multiply
    303.09x = 454.53 × 86.61
  4. Step 4: Simplify right side
    303.09x = 39,366.84
  5. Step 5: Solve for x
    x = 39,366.84/303.09
  6. Step 6: Final answer
    x = 129.88

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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.