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Finding the Fourth Proportional to 159.48, 219.88 and 120.76

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Solution

The fourth proportional to 159.48, 219.88 and 120.76 is: 166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.48 : 219.88 = 120.76 : x
  2. Step 2: Convert to fraction form
    159.48/219.88 = 120.76/x
  3. Step 3: Cross multiply
    159.48x = 219.88 × 120.76
  4. Step 4: Simplify right side
    159.48x = 26,552.71
  5. Step 5: Solve for x
    x = 26,552.71/159.48
  6. Step 6: Final answer
    x = 166.50

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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.