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Finding the Fourth Proportional to 309.80, 425.72 and 295.52

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Solution

The fourth proportional to 309.80, 425.72 and 295.52 is: 406.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.80 : 425.72 = 295.52 : x
  2. Step 2: Convert to fraction form
    309.80/425.72 = 295.52/x
  3. Step 3: Cross multiply
    309.80x = 425.72 × 295.52
  4. Step 4: Simplify right side
    309.80x = 125,808.77
  5. Step 5: Solve for x
    x = 125,808.77/309.80
  6. Step 6: Final answer
    x = 406.10

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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.