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Finding the Fourth Proportional to 307.12, 460.32 and 230.08

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Solution

The fourth proportional to 307.12, 460.32 and 230.08 is: 344.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.12 : 460.32 = 230.08 : x
  2. Step 2: Convert to fraction form
    307.12/460.32 = 230.08/x
  3. Step 3: Cross multiply
    307.12x = 460.32 × 230.08
  4. Step 4: Simplify right side
    307.12x = 105,910.43
  5. Step 5: Solve for x
    x = 105,910.43/307.12
  6. Step 6: Final answer
    x = 344.85

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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.