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Finding the Fourth Proportional to 318.88, 476.01 and 275.83

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Solution

The fourth proportional to 318.88, 476.01 and 275.83 is: 411.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.88 : 476.01 = 275.83 : x
  2. Step 2: Convert to fraction form
    318.88/476.01 = 275.83/x
  3. Step 3: Cross multiply
    318.88x = 476.01 × 275.83
  4. Step 4: Simplify right side
    318.88x = 131,296.65
  5. Step 5: Solve for x
    x = 131,296.65/318.88
  6. Step 6: Final answer
    x = 411.74

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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.