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Finding the Fourth Proportional to 472.38, 651.76 and 275.82

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Solution

The fourth proportional to 472.38, 651.76 and 275.82 is: 380.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.38 : 651.76 = 275.82 : x
  2. Step 2: Convert to fraction form
    472.38/651.76 = 275.82/x
  3. Step 3: Cross multiply
    472.38x = 651.76 × 275.82
  4. Step 4: Simplify right side
    472.38x = 179,768.44
  5. Step 5: Solve for x
    x = 179,768.44/472.38
  6. Step 6: Final answer
    x = 380.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.