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Finding the Fourth Proportional to 315.82, 473.82 and 185.74

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Solution

The fourth proportional to 315.82, 473.82 and 185.74 is: 278.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.82 : 473.82 = 185.74 : x
  2. Step 2: Convert to fraction form
    315.82/473.82 = 185.74/x
  3. Step 3: Cross multiply
    315.82x = 473.82 × 185.74
  4. Step 4: Simplify right side
    315.82x = 88,007.33
  5. Step 5: Solve for x
    x = 88,007.33/315.82
  6. Step 6: Final answer
    x = 278.66

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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.