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Finding the Fourth Proportional to 284.68, 424.01 and 283.30

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Solution

The fourth proportional to 284.68, 424.01 and 283.30 is: 421.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.68 : 424.01 = 283.30 : x
  2. Step 2: Convert to fraction form
    284.68/424.01 = 283.30/x
  3. Step 3: Cross multiply
    284.68x = 424.01 × 283.30
  4. Step 4: Simplify right side
    284.68x = 120,122.03
  5. Step 5: Solve for x
    x = 120,122.03/284.68
  6. Step 6: Final answer
    x = 421.95

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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.