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Finding the Fourth Proportional to 307.82, 424.87 and 191.32

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Solution

The fourth proportional to 307.82, 424.87 and 191.32 is: 264.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.82 : 424.87 = 191.32 : x
  2. Step 2: Convert to fraction form
    307.82/424.87 = 191.32/x
  3. Step 3: Cross multiply
    307.82x = 424.87 × 191.32
  4. Step 4: Simplify right side
    307.82x = 81,284.00
  5. Step 5: Solve for x
    x = 81,284.00/307.82
  6. Step 6: Final answer
    x = 264.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.