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Finding the Fourth Proportional to 159.51, 221.15 and 154.45

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Solution

The fourth proportional to 159.51, 221.15 and 154.45 is: 214.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.51 : 221.15 = 154.45 : x
  2. Step 2: Convert to fraction form
    159.51/221.15 = 154.45/x
  3. Step 3: Cross multiply
    159.51x = 221.15 × 154.45
  4. Step 4: Simplify right side
    159.51x = 34,156.62
  5. Step 5: Solve for x
    x = 34,156.62/159.51
  6. Step 6: Final answer
    x = 214.13

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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.