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Finding the Fourth Proportional to 306.80, 423.79 and 248.01

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Solution

The fourth proportional to 306.80, 423.79 and 248.01 is: 342.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.80 : 423.79 = 248.01 : x
  2. Step 2: Convert to fraction form
    306.80/423.79 = 248.01/x
  3. Step 3: Cross multiply
    306.80x = 423.79 × 248.01
  4. Step 4: Simplify right side
    306.80x = 105,101.95
  5. Step 5: Solve for x
    x = 105,101.95/306.80
  6. Step 6: Final answer
    x = 342.58

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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.