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Finding the Fourth Proportional to 318, 474.73 and 277

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Solution

The fourth proportional to 318, 474.73 and 277 is: 413.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    318 : 474.73 = 277 : x
  2. Step 2: Convert to fraction form
    318/474.73 = 277/x
  3. Step 3: Cross multiply
    318x = 474.73 × 277
  4. Step 4: Simplify right side
    318x = 131,500.21
  5. Step 5: Solve for x
    x = 131,500.21/318
  6. Step 6: Final answer
    x = 413.52

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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.