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Finding the Fourth Proportional to 332.27, 457.96 and 287.93

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Solution

The fourth proportional to 332.27, 457.96 and 287.93 is: 396.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.27 : 457.96 = 287.93 : x
  2. Step 2: Convert to fraction form
    332.27/457.96 = 287.93/x
  3. Step 3: Cross multiply
    332.27x = 457.96 × 287.93
  4. Step 4: Simplify right side
    332.27x = 131,860.42
  5. Step 5: Solve for x
    x = 131,860.42/332.27
  6. Step 6: Final answer
    x = 396.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.