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Finding the Fourth Proportional to 169.72, 233.82 and 156.52

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Solution

The fourth proportional to 169.72, 233.82 and 156.52 is: 215.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.72 : 233.82 = 156.52 : x
  2. Step 2: Convert to fraction form
    169.72/233.82 = 156.52/x
  3. Step 3: Cross multiply
    169.72x = 233.82 × 156.52
  4. Step 4: Simplify right side
    169.72x = 36,597.51
  5. Step 5: Solve for x
    x = 36,597.51/169.72
  6. Step 6: Final answer
    x = 215.63

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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.