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Finding the Fourth Proportional to 135, 185.76 and 118.53

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Solution

The fourth proportional to 135, 185.76 and 118.53 is: 163.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135 : 185.76 = 118.53 : x
  2. Step 2: Convert to fraction form
    135/185.76 = 118.53/x
  3. Step 3: Cross multiply
    135x = 185.76 × 118.53
  4. Step 4: Simplify right side
    135x = 22,018.13
  5. Step 5: Solve for x
    x = 22,018.13/135
  6. Step 6: Final answer
    x = 163.10

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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.