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Finding the Fourth Proportional to 307.32, 460.50 and 191.45

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Solution

The fourth proportional to 307.32, 460.50 and 191.45 is: 286.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.32 : 460.50 = 191.45 : x
  2. Step 2: Convert to fraction form
    307.32/460.50 = 191.45/x
  3. Step 3: Cross multiply
    307.32x = 460.50 × 191.45
  4. Step 4: Simplify right side
    307.32x = 88,163.16
  5. Step 5: Solve for x
    x = 88,163.16/307.32
  6. Step 6: Final answer
    x = 286.88

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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.