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Finding the Fourth Proportional to 307.91, 460.80 and 186.26

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Solution

The fourth proportional to 307.91, 460.80 and 186.26 is: 278.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.91 : 460.80 = 186.26 : x
  2. Step 2: Convert to fraction form
    307.91/460.80 = 186.26/x
  3. Step 3: Cross multiply
    307.91x = 460.80 × 186.26
  4. Step 4: Simplify right side
    307.91x = 85,826.30
  5. Step 5: Solve for x
    x = 85,826.30/307.91
  6. Step 6: Final answer
    x = 278.74

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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.