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Finding the Fourth Proportional to 284.80, 424.04 and 283.20

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Solution

The fourth proportional to 284.80, 424.04 and 283.20 is: 421.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.80 : 424.04 = 283.20 : x
  2. Step 2: Convert to fraction form
    284.80/424.04 = 283.20/x
  3. Step 3: Cross multiply
    284.80x = 424.04 × 283.20
  4. Step 4: Simplify right side
    284.80x = 120,088.13
  5. Step 5: Solve for x
    x = 120,088.13/284.80
  6. Step 6: Final answer
    x = 421.66

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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.