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Finding the Fourth Proportional to 309.19, 426.45 and 230.78

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Solution

The fourth proportional to 309.19, 426.45 and 230.78 is: 318.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.19 : 426.45 = 230.78 : x
  2. Step 2: Convert to fraction form
    309.19/426.45 = 230.78/x
  3. Step 3: Cross multiply
    309.19x = 426.45 × 230.78
  4. Step 4: Simplify right side
    309.19x = 98,416.13
  5. Step 5: Solve for x
    x = 98,416.13/309.19
  6. Step 6: Final answer
    x = 318.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.