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Finding the Fourth Proportional to 285.43, 393.89 and 167.48

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Solution

The fourth proportional to 285.43, 393.89 and 167.48 is: 231.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.43 : 393.89 = 167.48 : x
  2. Step 2: Convert to fraction form
    285.43/393.89 = 167.48/x
  3. Step 3: Cross multiply
    285.43x = 393.89 × 167.48
  4. Step 4: Simplify right side
    285.43x = 65,970.10
  5. Step 5: Solve for x
    x = 65,970.10/285.43
  6. Step 6: Final answer
    x = 231.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.