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Finding the Fourth Proportional to 297.74, 447.65 and 161.06

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Solution

The fourth proportional to 297.74, 447.65 and 161.06 is: 242.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.74 : 447.65 = 161.06 : x
  2. Step 2: Convert to fraction form
    297.74/447.65 = 161.06/x
  3. Step 3: Cross multiply
    297.74x = 447.65 × 161.06
  4. Step 4: Simplify right side
    297.74x = 72,095.47
  5. Step 5: Solve for x
    x = 72,095.47/297.74
  6. Step 6: Final answer
    x = 242.15

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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.