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Finding the Fourth Proportional to 284.30, 424.46 and 281.36

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Solution

The fourth proportional to 284.30, 424.46 and 281.36 is: 420.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.30 : 424.46 = 281.36 : x
  2. Step 2: Convert to fraction form
    284.30/424.46 = 281.36/x
  3. Step 3: Cross multiply
    284.30x = 424.46 × 281.36
  4. Step 4: Simplify right side
    284.30x = 119,423.94
  5. Step 5: Solve for x
    x = 119,423.94/284.30
  6. Step 6: Final answer
    x = 420.07

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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.