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Finding the Fourth Proportional to 472.48, 651.87 and 275.92

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Solution

The fourth proportional to 472.48, 651.87 and 275.92 is: 380.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.48 : 651.87 = 275.92 : x
  2. Step 2: Convert to fraction form
    472.48/651.87 = 275.92/x
  3. Step 3: Cross multiply
    472.48x = 651.87 × 275.92
  4. Step 4: Simplify right side
    472.48x = 179,863.97
  5. Step 5: Solve for x
    x = 179,863.97/472.48
  6. Step 6: Final answer
    x = 380.68

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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.