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Finding the Fourth Proportional to 285.53, 394.07 and 167.47

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Solution

The fourth proportional to 285.53, 394.07 and 167.47 is: 231.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.53 : 394.07 = 167.47 : x
  2. Step 2: Convert to fraction form
    285.53/394.07 = 167.47/x
  3. Step 3: Cross multiply
    285.53x = 394.07 × 167.47
  4. Step 4: Simplify right side
    285.53x = 65,993.08
  5. Step 5: Solve for x
    x = 65,993.08/285.53
  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.