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Finding the Fourth Proportional to 358.11, 534.12 and 308.80

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Solution

The fourth proportional to 358.11, 534.12 and 308.80 is: 460.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.11 : 534.12 = 308.80 : x
  2. Step 2: Convert to fraction form
    358.11/534.12 = 308.80/x
  3. Step 3: Cross multiply
    358.11x = 534.12 × 308.80
  4. Step 4: Simplify right side
    358.11x = 164,936.26
  5. Step 5: Solve for x
    x = 164,936.26/358.11
  6. Step 6: Final answer
    x = 460.57

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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.