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Finding the Fourth Proportional to 315.22, 475.07 and 251.50

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Solution

The fourth proportional to 315.22, 475.07 and 251.50 is: 379.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.22 : 475.07 = 251.50 : x
  2. Step 2: Convert to fraction form
    315.22/475.07 = 251.50/x
  3. Step 3: Cross multiply
    315.22x = 475.07 × 251.50
  4. Step 4: Simplify right side
    315.22x = 119,480.11
  5. Step 5: Solve for x
    x = 119,480.11/315.22
  6. Step 6: Final answer
    x = 379.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.