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Finding the Fourth Proportional to 309.05, 461.65 and 248.30

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Solution

The fourth proportional to 309.05, 461.65 and 248.30 is: 370.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.05 : 461.65 = 248.30 : x
  2. Step 2: Convert to fraction form
    309.05/461.65 = 248.30/x
  3. Step 3: Cross multiply
    309.05x = 461.65 × 248.30
  4. Step 4: Simplify right side
    309.05x = 114,624.77
  5. Step 5: Solve for x
    x = 114,624.77/309.05
  6. Step 6: Final answer
    x = 370.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.