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Finding the Fourth Proportional to 159.67, 220.20 and 135.16

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Solution

The fourth proportional to 159.67, 220.20 and 135.16 is: 186.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.67 : 220.20 = 135.16 : x
  2. Step 2: Convert to fraction form
    159.67/220.20 = 135.16/x
  3. Step 3: Cross multiply
    159.67x = 220.20 × 135.16
  4. Step 4: Simplify right side
    159.67x = 29,762.23
  5. Step 5: Solve for x
    x = 29,762.23/159.67
  6. Step 6: Final answer
    x = 186.40

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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.