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Finding the Fourth Proportional to 307.61, 461.08 and 134.19

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Solution

The fourth proportional to 307.61, 461.08 and 134.19 is: 201.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.61 : 461.08 = 134.19 : x
  2. Step 2: Convert to fraction form
    307.61/461.08 = 134.19/x
  3. Step 3: Cross multiply
    307.61x = 461.08 × 134.19
  4. Step 4: Simplify right side
    307.61x = 61,872.33
  5. Step 5: Solve for x
    x = 61,872.33/307.61
  6. Step 6: Final answer
    x = 201.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.