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Finding the Fourth Proportional to 307.16, 461.01 and 191.81

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Solution

The fourth proportional to 307.16, 461.01 and 191.81 is: 287.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.16 : 461.01 = 191.81 : x
  2. Step 2: Convert to fraction form
    307.16/461.01 = 191.81/x
  3. Step 3: Cross multiply
    307.16x = 461.01 × 191.81
  4. Step 4: Simplify right side
    307.16x = 88,424.02
  5. Step 5: Solve for x
    x = 88,424.02/307.16
  6. Step 6: Final answer
    x = 287.88

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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.