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Finding the Fourth Proportional to 318.75, 479.49 and 277.74

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Solution

The fourth proportional to 318.75, 479.49 and 277.74 is: 417.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.75 : 479.49 = 277.74 : x
  2. Step 2: Convert to fraction form
    318.75/479.49 = 277.74/x
  3. Step 3: Cross multiply
    318.75x = 479.49 × 277.74
  4. Step 4: Simplify right side
    318.75x = 133,173.55
  5. Step 5: Solve for x
    x = 133,173.55/318.75
  6. Step 6: Final answer
    x = 417.80

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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.