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Finding the Fourth Proportional to 159.98, 219.51 and 149.04

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Solution

The fourth proportional to 159.98, 219.51 and 149.04 is: 204.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.98 : 219.51 = 149.04 : x
  2. Step 2: Convert to fraction form
    159.98/219.51 = 149.04/x
  3. Step 3: Cross multiply
    159.98x = 219.51 × 149.04
  4. Step 4: Simplify right side
    159.98x = 32,715.77
  5. Step 5: Solve for x
    x = 32,715.77/159.98
  6. Step 6: Final answer
    x = 204.51

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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.