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Finding the Fourth Proportional to 287.80, 431.70 and 82.37

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Solution

The fourth proportional to 287.80, 431.70 and 82.37 is: 123.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.80 : 431.70 = 82.37 : x
  2. Step 2: Convert to fraction form
    287.80/431.70 = 82.37/x
  3. Step 3: Cross multiply
    287.80x = 431.70 × 82.37
  4. Step 4: Simplify right side
    287.80x = 35,559.13
  5. Step 5: Solve for x
    x = 35,559.13/287.80
  6. Step 6: Final answer
    x = 123.56

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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.