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Finding the Fourth Proportional to 161.84, 243.04 and 130.08

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Solution

The fourth proportional to 161.84, 243.04 and 130.08 is: 195.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.84 : 243.04 = 130.08 : x
  2. Step 2: Convert to fraction form
    161.84/243.04 = 130.08/x
  3. Step 3: Cross multiply
    161.84x = 243.04 × 130.08
  4. Step 4: Simplify right side
    161.84x = 31,614.64
  5. Step 5: Solve for x
    x = 31,614.64/161.84
  6. Step 6: Final answer
    x = 195.35

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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.