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Finding the Fourth Proportional to 159.66, 219.47 and 130.10

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Solution

The fourth proportional to 159.66, 219.47 and 130.10 is: 178.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.66 : 219.47 = 130.10 : x
  2. Step 2: Convert to fraction form
    159.66/219.47 = 130.10/x
  3. Step 3: Cross multiply
    159.66x = 219.47 × 130.10
  4. Step 4: Simplify right side
    159.66x = 28,551.30
  5. Step 5: Solve for x
    x = 28,551.30/159.66
  6. Step 6: Final answer
    x = 178.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.