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Finding the Fourth Proportional to 312.19, 430.65 and 250.09

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Solution

The fourth proportional to 312.19, 430.65 and 250.09 is: 344.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.19 : 430.65 = 250.09 : x
  2. Step 2: Convert to fraction form
    312.19/430.65 = 250.09/x
  3. Step 3: Cross multiply
    312.19x = 430.65 × 250.09
  4. Step 4: Simplify right side
    312.19x = 107,700.18
  5. Step 5: Solve for x
    x = 107,700.18/312.19
  6. Step 6: Final answer
    x = 344.99

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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.