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Finding the Fourth Proportional to 161.08, 242.59 and 135.56

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Solution

The fourth proportional to 161.08, 242.59 and 135.56 is: 204.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.08 : 242.59 = 135.56 : x
  2. Step 2: Convert to fraction form
    161.08/242.59 = 135.56/x
  3. Step 3: Cross multiply
    161.08x = 242.59 × 135.56
  4. Step 4: Simplify right side
    161.08x = 32,885.77
  5. Step 5: Solve for x
    x = 32,885.77/161.08
  6. Step 6: Final answer
    x = 204.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.