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Finding the Fourth Proportional to 472.25, 651.49 and 275.65

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Solution

The fourth proportional to 472.25, 651.49 and 275.65 is: 380.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.25 : 651.49 = 275.65 : x
  2. Step 2: Convert to fraction form
    472.25/651.49 = 275.65/x
  3. Step 3: Cross multiply
    472.25x = 651.49 × 275.65
  4. Step 4: Simplify right side
    472.25x = 179,583.22
  5. Step 5: Solve for x
    x = 179,583.22/472.25
  6. Step 6: Final answer
    x = 380.27

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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.