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Finding the Fourth Proportional to 303.52, 455.31 and 87.13

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Solution

The fourth proportional to 303.52, 455.31 and 87.13 is: 130.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.52 : 455.31 = 87.13 : x
  2. Step 2: Convert to fraction form
    303.52/455.31 = 87.13/x
  3. Step 3: Cross multiply
    303.52x = 455.31 × 87.13
  4. Step 4: Simplify right side
    303.52x = 39,671.16
  5. Step 5: Solve for x
    x = 39,671.16/303.52
  6. Step 6: Final answer
    x = 130.70

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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.