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Finding the Fourth Proportional to 159.98, 221.19 and 146.14

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Solution

The fourth proportional to 159.98, 221.19 and 146.14 is: 202.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.98 : 221.19 = 146.14 : x
  2. Step 2: Convert to fraction form
    159.98/221.19 = 146.14/x
  3. Step 3: Cross multiply
    159.98x = 221.19 × 146.14
  4. Step 4: Simplify right side
    159.98x = 32,323.61
  5. Step 5: Solve for x
    x = 32,323.61/159.98
  6. Step 6: Final answer
    x = 202.05

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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.