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Finding the Fourth Proportional to 342.18, 471.62 and 248.90

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Solution

The fourth proportional to 342.18, 471.62 and 248.90 is: 343.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.18 : 471.62 = 248.90 : x
  2. Step 2: Convert to fraction form
    342.18/471.62 = 248.90/x
  3. Step 3: Cross multiply
    342.18x = 471.62 × 248.90
  4. Step 4: Simplify right side
    342.18x = 117,386.22
  5. Step 5: Solve for x
    x = 117,386.22/342.18
  6. Step 6: Final answer
    x = 343.05

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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.