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Finding the Fourth Proportional to 307.10, 462.95 and 286.73

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Solution

The fourth proportional to 307.10, 462.95 and 286.73 is: 432.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.10 : 462.95 = 286.73 : x
  2. Step 2: Convert to fraction form
    307.10/462.95 = 286.73/x
  3. Step 3: Cross multiply
    307.10x = 462.95 × 286.73
  4. Step 4: Simplify right side
    307.10x = 132,741.65
  5. Step 5: Solve for x
    x = 132,741.65/307.10
  6. Step 6: Final answer
    x = 432.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.