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Finding the Fourth Proportional to 316.62, 472.41 and 262.62

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Solution

The fourth proportional to 316.62, 472.41 and 262.62 is: 391.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.62 : 472.41 = 262.62 : x
  2. Step 2: Convert to fraction form
    316.62/472.41 = 262.62/x
  3. Step 3: Cross multiply
    316.62x = 472.41 × 262.62
  4. Step 4: Simplify right side
    316.62x = 124,064.31
  5. Step 5: Solve for x
    x = 124,064.31/316.62
  6. Step 6: Final answer
    x = 391.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.