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Finding the Fourth Proportional to 317.80, 474.13 and 277.30

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Solution

The fourth proportional to 317.80, 474.13 and 277.30 is: 413.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.80 : 474.13 = 277.30 : x
  2. Step 2: Convert to fraction form
    317.80/474.13 = 277.30/x
  3. Step 3: Cross multiply
    317.80x = 474.13 × 277.30
  4. Step 4: Simplify right side
    317.80x = 131,476.25
  5. Step 5: Solve for x
    x = 131,476.25/317.80
  6. Step 6: Final answer
    x = 413.71

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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.