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Finding the Fourth Proportional to 248.54, 374.52 and 206.16

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Solution

The fourth proportional to 248.54, 374.52 and 206.16 is: 310.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.54 : 374.52 = 206.16 : x
  2. Step 2: Convert to fraction form
    248.54/374.52 = 206.16/x
  3. Step 3: Cross multiply
    248.54x = 374.52 × 206.16
  4. Step 4: Simplify right side
    248.54x = 77,211.04
  5. Step 5: Solve for x
    x = 77,211.04/248.54
  6. Step 6: Final answer
    x = 310.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.