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Finding the Fourth Proportional to 180.02, 268.77 and 159.32

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Solution

The fourth proportional to 180.02, 268.77 and 159.32 is: 237.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.02 : 268.77 = 159.32 : x
  2. Step 2: Convert to fraction form
    180.02/268.77 = 159.32/x
  3. Step 3: Cross multiply
    180.02x = 268.77 × 159.32
  4. Step 4: Simplify right side
    180.02x = 42,819.09
  5. Step 5: Solve for x
    x = 42,819.09/180.02
  6. Step 6: Final answer
    x = 237.86

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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.