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Finding the Fourth Proportional to 180.91, 270.21 and 156.61

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Solution

The fourth proportional to 180.91, 270.21 and 156.61 is: 233.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.91 : 270.21 = 156.61 : x
  2. Step 2: Convert to fraction form
    180.91/270.21 = 156.61/x
  3. Step 3: Cross multiply
    180.91x = 270.21 × 156.61
  4. Step 4: Simplify right side
    180.91x = 42,317.63
  5. Step 5: Solve for x
    x = 42,317.63/180.91
  6. Step 6: Final answer
    x = 233.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.