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Finding the Fourth Proportional to 307.52, 460.25 and 209.62

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Solution

The fourth proportional to 307.52, 460.25 and 209.62 is: 313.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.52 : 460.25 = 209.62 : x
  2. Step 2: Convert to fraction form
    307.52/460.25 = 209.62/x
  3. Step 3: Cross multiply
    307.52x = 460.25 × 209.62
  4. Step 4: Simplify right side
    307.52x = 96,476.98
  5. Step 5: Solve for x
    x = 96,476.98/307.52
  6. Step 6: Final answer
    x = 313.72

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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.