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Finding the Fourth Proportional to 307.50, 461.25 and 91.08

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Solution

The fourth proportional to 307.50, 461.25 and 91.08 is: 136.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.50 : 461.25 = 91.08 : x
  2. Step 2: Convert to fraction form
    307.50/461.25 = 91.08/x
  3. Step 3: Cross multiply
    307.50x = 461.25 × 91.08
  4. Step 4: Simplify right side
    307.50x = 42,010.65
  5. Step 5: Solve for x
    x = 42,010.65/307.50
  6. Step 6: Final answer
    x = 136.62

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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.