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Finding the Fourth Proportional to 289.65, 397.76 and 248.20

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Solution

The fourth proportional to 289.65, 397.76 and 248.20 is: 340.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.65 : 397.76 = 248.20 : x
  2. Step 2: Convert to fraction form
    289.65/397.76 = 248.20/x
  3. Step 3: Cross multiply
    289.65x = 397.76 × 248.20
  4. Step 4: Simplify right side
    289.65x = 98,724.03
  5. Step 5: Solve for x
    x = 98,724.03/289.65
  6. Step 6: Final answer
    x = 340.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.