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Finding the Fourth Proportional to 283.59, 424.05 and 202.18

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Solution

The fourth proportional to 283.59, 424.05 and 202.18 is: 302.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.59 : 424.05 = 202.18 : x
  2. Step 2: Convert to fraction form
    283.59/424.05 = 202.18/x
  3. Step 3: Cross multiply
    283.59x = 424.05 × 202.18
  4. Step 4: Simplify right side
    283.59x = 85,734.43
  5. Step 5: Solve for x
    x = 85,734.43/283.59
  6. Step 6: Final answer
    x = 302.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.