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Finding the Fourth Proportional to 248.40, 343.08 and 234

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Solution

The fourth proportional to 248.40, 343.08 and 234 is: 323.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.40 : 343.08 = 234 : x
  2. Step 2: Convert to fraction form
    248.40/343.08 = 234/x
  3. Step 3: Cross multiply
    248.40x = 343.08 × 234
  4. Step 4: Simplify right side
    248.40x = 80,280.72
  5. Step 5: Solve for x
    x = 80,280.72/248.40
  6. Step 6: Final answer
    x = 323.19

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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.