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Finding the Fourth Proportional to 284.54, 424.83 and 281.61

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Solution

The fourth proportional to 284.54, 424.83 and 281.61 is: 420.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.54 : 424.83 = 281.61 : x
  2. Step 2: Convert to fraction form
    284.54/424.83 = 281.61/x
  3. Step 3: Cross multiply
    284.54x = 424.83 × 281.61
  4. Step 4: Simplify right side
    284.54x = 119,636.38
  5. Step 5: Solve for x
    x = 119,636.38/284.54
  6. Step 6: Final answer
    x = 420.46

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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.