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Finding the Fourth Proportional to 315.11, 471.99 and 278.66

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Solution

The fourth proportional to 315.11, 471.99 and 278.66 is: 417.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.11 : 471.99 = 278.66 : x
  2. Step 2: Convert to fraction form
    315.11/471.99 = 278.66/x
  3. Step 3: Cross multiply
    315.11x = 471.99 × 278.66
  4. Step 4: Simplify right side
    315.11x = 131,524.73
  5. Step 5: Solve for x
    x = 131,524.73/315.11
  6. Step 6: Final answer
    x = 417.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.