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Finding the Fourth Proportional to 303.52, 455.12 and 159.20

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Solution

The fourth proportional to 303.52, 455.12 and 159.20 is: 238.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.52 : 455.12 = 159.20 : x
  2. Step 2: Convert to fraction form
    303.52/455.12 = 159.20/x
  3. Step 3: Cross multiply
    303.52x = 455.12 × 159.20
  4. Step 4: Simplify right side
    303.52x = 72,455.10
  5. Step 5: Solve for x
    x = 72,455.10/303.52
  6. Step 6: Final answer
    x = 238.72

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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.