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Finding the Fourth Proportional to 170.53, 233.79 and 167.45

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Solution

The fourth proportional to 170.53, 233.79 and 167.45 is: 229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.53 : 233.79 = 167.45 : x
  2. Step 2: Convert to fraction form
    170.53/233.79 = 167.45/x
  3. Step 3: Cross multiply
    170.53x = 233.79 × 167.45
  4. Step 4: Simplify right side
    170.53x = 39,148.55
  5. Step 5: Solve for x
    x = 39,148.55/170.53
  6. Step 6: Final answer
    x = 229.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.