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Finding the Fourth Proportional to 318.02, 476.75 and 249.84

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Solution

The fourth proportional to 318.02, 476.75 and 249.84 is: 374.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.02 : 476.75 = 249.84 : x
  2. Step 2: Convert to fraction form
    318.02/476.75 = 249.84/x
  3. Step 3: Cross multiply
    318.02x = 476.75 × 249.84
  4. Step 4: Simplify right side
    318.02x = 119,111.84
  5. Step 5: Solve for x
    x = 119,111.84/318.02
  6. Step 6: Final answer
    x = 374.55

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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.