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Finding the Fourth Proportional to 307.12, 460.64 and 209.76

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Solution

The fourth proportional to 307.12, 460.64 and 209.76 is: 314.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.12 : 460.64 = 209.76 : x
  2. Step 2: Convert to fraction form
    307.12/460.64 = 209.76/x
  3. Step 3: Cross multiply
    307.12x = 460.64 × 209.76
  4. Step 4: Simplify right side
    307.12x = 96,623.85
  5. Step 5: Solve for x
    x = 96,623.85/307.12
  6. Step 6: Final answer
    x = 314.61

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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.