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Finding the Fourth Proportional to 161.42, 242.08 and 53.20

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Solution

The fourth proportional to 161.42, 242.08 and 53.20 is: 79.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.42 : 242.08 = 53.20 : x
  2. Step 2: Convert to fraction form
    161.42/242.08 = 53.20/x
  3. Step 3: Cross multiply
    161.42x = 242.08 × 53.20
  4. Step 4: Simplify right side
    161.42x = 12,878.66
  5. Step 5: Solve for x
    x = 12,878.66/161.42
  6. Step 6: Final answer
    x = 79.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.