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Finding the Fourth Proportional to 304, 453.24 and 285.64

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Solution

The fourth proportional to 304, 453.24 and 285.64 is: 425.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    304 : 453.24 = 285.64 : x
  2. Step 2: Convert to fraction form
    304/453.24 = 285.64/x
  3. Step 3: Cross multiply
    304x = 453.24 × 285.64
  4. Step 4: Simplify right side
    304x = 129,463.47
  5. Step 5: Solve for x
    x = 129,463.47/304
  6. Step 6: Final answer
    x = 425.87

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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.