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Finding the Fourth Proportional to 248.77, 343.02 and 202

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Solution

The fourth proportional to 248.77, 343.02 and 202 is: 278.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.77 : 343.02 = 202 : x
  2. Step 2: Convert to fraction form
    248.77/343.02 = 202/x
  3. Step 3: Cross multiply
    248.77x = 343.02 × 202
  4. Step 4: Simplify right side
    248.77x = 69,289.03
  5. Step 5: Solve for x
    x = 69,289.03/248.77
  6. Step 6: Final answer
    x = 278.53

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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.