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Finding the Fourth Proportional to 284.90, 424.35 and 283.58

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Solution

The fourth proportional to 284.90, 424.35 and 283.58 is: 422.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.90 : 424.35 = 283.58 : x
  2. Step 2: Convert to fraction form
    284.90/424.35 = 283.58/x
  3. Step 3: Cross multiply
    284.90x = 424.35 × 283.58
  4. Step 4: Simplify right side
    284.90x = 120,335.76
  5. Step 5: Solve for x
    x = 120,335.76/284.90
  6. Step 6: Final answer
    x = 422.38

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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.