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Finding the Fourth Proportional to 284.30, 424.76 and 250.46

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Solution

The fourth proportional to 284.30, 424.76 and 250.46 is: 374.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.30 : 424.76 = 250.46 : x
  2. Step 2: Convert to fraction form
    284.30/424.76 = 250.46/x
  3. Step 3: Cross multiply
    284.30x = 424.76 × 250.46
  4. Step 4: Simplify right side
    284.30x = 106,382.01
  5. Step 5: Solve for x
    x = 106,382.01/284.30
  6. Step 6: Final answer
    x = 374.20

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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.