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Finding the Fourth Proportional to 307.80, 461.30 and 235.31

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Solution

The fourth proportional to 307.80, 461.30 and 235.31 is: 352.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.80 : 461.30 = 235.31 : x
  2. Step 2: Convert to fraction form
    307.80/461.30 = 235.31/x
  3. Step 3: Cross multiply
    307.80x = 461.30 × 235.31
  4. Step 4: Simplify right side
    307.80x = 108,545.02
  5. Step 5: Solve for x
    x = 108,545.02/307.80
  6. Step 6: Final answer
    x = 352.65

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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.