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Finding the Fourth Proportional to 159.60, 220 and 135

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Solution

The fourth proportional to 159.60, 220 and 135 is: 186.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.60 : 220 = 135 : x
  2. Step 2: Convert to fraction form
    159.60/220 = 135/x
  3. Step 3: Cross multiply
    159.60x = 220 × 135
  4. Step 4: Simplify right side
    159.60x = 29,700
  5. Step 5: Solve for x
    x = 29,700/159.60
  6. Step 6: Final answer
    x = 186.09

Related Problems

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Double scale
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1.5x scale

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.