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Finding the Fourth Proportional to 248.76, 375.07 and 218.24

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Solution

The fourth proportional to 248.76, 375.07 and 218.24 is: 329.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.76 : 375.07 = 218.24 : x
  2. Step 2: Convert to fraction form
    248.76/375.07 = 218.24/x
  3. Step 3: Cross multiply
    248.76x = 375.07 × 218.24
  4. Step 4: Simplify right side
    248.76x = 81,855.28
  5. Step 5: Solve for x
    x = 81,855.28/248.76
  6. Step 6: Final answer
    x = 329.05

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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.