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Finding the Fourth Proportional to 303.69, 456.57 and 281.13

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Solution

The fourth proportional to 303.69, 456.57 and 281.13 is: 422.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.69 : 456.57 = 281.13 : x
  2. Step 2: Convert to fraction form
    303.69/456.57 = 281.13/x
  3. Step 3: Cross multiply
    303.69x = 456.57 × 281.13
  4. Step 4: Simplify right side
    303.69x = 128,355.52
  5. Step 5: Solve for x
    x = 128,355.52/303.69
  6. Step 6: Final answer
    x = 422.65

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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.