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Finding the Fourth Proportional to 315.74, 473.59 and 161.57

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Solution

The fourth proportional to 315.74, 473.59 and 161.57 is: 242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.74 : 473.59 = 161.57 : x
  2. Step 2: Convert to fraction form
    315.74/473.59 = 161.57/x
  3. Step 3: Cross multiply
    315.74x = 473.59 × 161.57
  4. Step 4: Simplify right side
    315.74x = 76,517.94
  5. Step 5: Solve for x
    x = 76,517.94/315.74
  6. Step 6: Final answer
    x = 242.34

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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.