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Finding the Fourth Proportional to 315.61, 475.75 and 261.85

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Solution

The fourth proportional to 315.61, 475.75 and 261.85 is: 394.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.61 : 475.75 = 261.85 : x
  2. Step 2: Convert to fraction form
    315.61/475.75 = 261.85/x
  3. Step 3: Cross multiply
    315.61x = 475.75 × 261.85
  4. Step 4: Simplify right side
    315.61x = 124,573.29
  5. Step 5: Solve for x
    x = 124,573.29/315.61
  6. Step 6: Final answer
    x = 394.71

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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.