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Finding the Fourth Proportional to 318.29, 474.68 and 277.39

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Solution

The fourth proportional to 318.29, 474.68 and 277.39 is: 413.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.29 : 474.68 = 277.39 : x
  2. Step 2: Convert to fraction form
    318.29/474.68 = 277.39/x
  3. Step 3: Cross multiply
    318.29x = 474.68 × 277.39
  4. Step 4: Simplify right side
    318.29x = 131,668.91
  5. Step 5: Solve for x
    x = 131,668.91/318.29
  6. Step 6: Final answer
    x = 413.67

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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.