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Finding the Fourth Proportional to 333.28, 457.22 and 314.65

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Solution

The fourth proportional to 333.28, 457.22 and 314.65 is: 431.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.28 : 457.22 = 314.65 : x
  2. Step 2: Convert to fraction form
    333.28/457.22 = 314.65/x
  3. Step 3: Cross multiply
    333.28x = 457.22 × 314.65
  4. Step 4: Simplify right side
    333.28x = 143,864.27
  5. Step 5: Solve for x
    x = 143,864.27/333.28
  6. Step 6: Final answer
    x = 431.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.