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Finding the Fourth Proportional to 304.71, 457.13 and 131.28

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Solution

The fourth proportional to 304.71, 457.13 and 131.28 is: 196.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.71 : 457.13 = 131.28 : x
  2. Step 2: Convert to fraction form
    304.71/457.13 = 131.28/x
  3. Step 3: Cross multiply
    304.71x = 457.13 × 131.28
  4. Step 4: Simplify right side
    304.71x = 60,012.03
  5. Step 5: Solve for x
    x = 60,012.03/304.71
  6. Step 6: Final answer
    x = 196.95

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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.