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Finding the Fourth Proportional to 309.87, 425.20 and 282.02

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Solution

The fourth proportional to 309.87, 425.20 and 282.02 is: 386.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.87 : 425.20 = 282.02 : x
  2. Step 2: Convert to fraction form
    309.87/425.20 = 282.02/x
  3. Step 3: Cross multiply
    309.87x = 425.20 × 282.02
  4. Step 4: Simplify right side
    309.87x = 119,914.90
  5. Step 5: Solve for x
    x = 119,914.90/309.87
  6. Step 6: Final answer
    x = 386.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.