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Finding the Fourth Proportional to 169.64, 233.98 and 114.29

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Solution

The fourth proportional to 169.64, 233.98 and 114.29 is: 157.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.64 : 233.98 = 114.29 : x
  2. Step 2: Convert to fraction form
    169.64/233.98 = 114.29/x
  3. Step 3: Cross multiply
    169.64x = 233.98 × 114.29
  4. Step 4: Simplify right side
    169.64x = 26,740.90
  5. Step 5: Solve for x
    x = 26,740.90/169.64
  6. Step 6: Final answer
    x = 157.63

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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.