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Finding the Fourth Proportional to 472.40, 651.87 and 275.90

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Solution

The fourth proportional to 472.40, 651.87 and 275.90 is: 380.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.40 : 651.87 = 275.90 : x
  2. Step 2: Convert to fraction form
    472.40/651.87 = 275.90/x
  3. Step 3: Cross multiply
    472.40x = 651.87 × 275.90
  4. Step 4: Simplify right side
    472.40x = 179,847.67
  5. Step 5: Solve for x
    x = 179,847.67/472.40
  6. Step 6: Final answer
    x = 380.71

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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.