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Finding the Fourth Proportional to 283.24, 424.22 and 169

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Solution

The fourth proportional to 283.24, 424.22 and 169 is: 253.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.24 : 424.22 = 169 : x
  2. Step 2: Convert to fraction form
    283.24/424.22 = 169/x
  3. Step 3: Cross multiply
    283.24x = 424.22 × 169
  4. Step 4: Simplify right side
    283.24x = 71,693.18
  5. Step 5: Solve for x
    x = 71,693.18/283.24
  6. Step 6: Final answer
    x = 253.12

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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.