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Finding the Fourth Proportional to 310.24, 430.18 and 299.86

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Solution

The fourth proportional to 310.24, 430.18 and 299.86 is: 415.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.24 : 430.18 = 299.86 : x
  2. Step 2: Convert to fraction form
    310.24/430.18 = 299.86/x
  3. Step 3: Cross multiply
    310.24x = 430.18 × 299.86
  4. Step 4: Simplify right side
    310.24x = 128,993.36
  5. Step 5: Solve for x
    x = 128,993.36/310.24
  6. Step 6: Final answer
    x = 415.79

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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.