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Finding the Fourth Proportional to 303.88, 457.69 and 270.04

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Solution

The fourth proportional to 303.88, 457.69 and 270.04 is: 406.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.88 : 457.69 = 270.04 : x
  2. Step 2: Convert to fraction form
    303.88/457.69 = 270.04/x
  3. Step 3: Cross multiply
    303.88x = 457.69 × 270.04
  4. Step 4: Simplify right side
    303.88x = 123,594.61
  5. Step 5: Solve for x
    x = 123,594.61/303.88
  6. Step 6: Final answer
    x = 406.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.