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Finding the Fourth Proportional to 315.81, 473.70 and 161.80

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Solution

The fourth proportional to 315.81, 473.70 and 161.80 is: 242.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.81 : 473.70 = 161.80 : x
  2. Step 2: Convert to fraction form
    315.81/473.70 = 161.80/x
  3. Step 3: Cross multiply
    315.81x = 473.70 × 161.80
  4. Step 4: Simplify right side
    315.81x = 76,644.66
  5. Step 5: Solve for x
    x = 76,644.66/315.81
  6. Step 6: Final answer
    x = 242.69

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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.