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Finding the Fourth Proportional to 315.90, 473.47 and 161.78

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Solution

The fourth proportional to 315.90, 473.47 and 161.78 is: 242.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.90 : 473.47 = 161.78 : x
  2. Step 2: Convert to fraction form
    315.90/473.47 = 161.78/x
  3. Step 3: Cross multiply
    315.90x = 473.47 × 161.78
  4. Step 4: Simplify right side
    315.90x = 76,597.98
  5. Step 5: Solve for x
    x = 76,597.98/315.90
  6. Step 6: Final answer
    x = 242.48

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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.