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Finding the Fourth Proportional to 180.10, 268.76 and 159.58

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Solution

The fourth proportional to 180.10, 268.76 and 159.58 is: 238.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.10 : 268.76 = 159.58 : x
  2. Step 2: Convert to fraction form
    180.10/268.76 = 159.58/x
  3. Step 3: Cross multiply
    180.10x = 268.76 × 159.58
  4. Step 4: Simplify right side
    180.10x = 42,888.72
  5. Step 5: Solve for x
    x = 42,888.72/180.10
  6. Step 6: Final answer
    x = 238.14

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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.