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Finding the Fourth Proportional to 315.87, 475.70 and 275.79

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Solution

The fourth proportional to 315.87, 475.70 and 275.79 is: 415.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.87 : 475.70 = 275.79 : x
  2. Step 2: Convert to fraction form
    315.87/475.70 = 275.79/x
  3. Step 3: Cross multiply
    315.87x = 475.70 × 275.79
  4. Step 4: Simplify right side
    315.87x = 131,191.92
  5. Step 5: Solve for x
    x = 131,191.92/315.87
  6. Step 6: Final answer
    x = 415.34

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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.