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Finding the Fourth Proportional to 309.80, 425.43 and 260.59

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Solution

The fourth proportional to 309.80, 425.43 and 260.59 is: 357.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.80 : 425.43 = 260.59 : x
  2. Step 2: Convert to fraction form
    309.80/425.43 = 260.59/x
  3. Step 3: Cross multiply
    309.80x = 425.43 × 260.59
  4. Step 4: Simplify right side
    309.80x = 110,862.80
  5. Step 5: Solve for x
    x = 110,862.80/309.80
  6. Step 6: Final answer
    x = 357.85

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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.