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Finding the Fourth Proportional to 159.50, 221.44 and 155.04

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Solution

The fourth proportional to 159.50, 221.44 and 155.04 is: 215.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.50 : 221.44 = 155.04 : x
  2. Step 2: Convert to fraction form
    159.50/221.44 = 155.04/x
  3. Step 3: Cross multiply
    159.50x = 221.44 × 155.04
  4. Step 4: Simplify right side
    159.50x = 34,332.06
  5. Step 5: Solve for x
    x = 34,332.06/159.50
  6. Step 6: Final answer
    x = 215.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.