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Finding the Fourth Proportional to 318.89, 476.23 and 277.88

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Solution

The fourth proportional to 318.89, 476.23 and 277.88 is: 414.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.89 : 476.23 = 277.88 : x
  2. Step 2: Convert to fraction form
    318.89/476.23 = 277.88/x
  3. Step 3: Cross multiply
    318.89x = 476.23 × 277.88
  4. Step 4: Simplify right side
    318.89x = 132,334.92
  5. Step 5: Solve for x
    x = 132,334.92/318.89
  6. Step 6: Final answer
    x = 414.99

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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.