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Finding the Fourth Proportional to 310.19, 430.84 and 301.55

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Solution

The fourth proportional to 310.19, 430.84 and 301.55 is: 418.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.19 : 430.84 = 301.55 : x
  2. Step 2: Convert to fraction form
    310.19/430.84 = 301.55/x
  3. Step 3: Cross multiply
    310.19x = 430.84 × 301.55
  4. Step 4: Simplify right side
    310.19x = 129,919.80
  5. Step 5: Solve for x
    x = 129,919.80/310.19
  6. Step 6: Final answer
    x = 418.84

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.