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Finding the Fourth Proportional to 292.02, 402.75 and 248.82

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Solution

The fourth proportional to 292.02, 402.75 and 248.82 is: 343.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.02 : 402.75 = 248.82 : x
  2. Step 2: Convert to fraction form
    292.02/402.75 = 248.82/x
  3. Step 3: Cross multiply
    292.02x = 402.75 × 248.82
  4. Step 4: Simplify right side
    292.02x = 100,212.26
  5. Step 5: Solve for x
    x = 100,212.26/292.02
  6. Step 6: Final answer
    x = 343.17

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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.