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Finding the Fourth Proportional to 248.73, 372.64 and 146.07

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Solution

The fourth proportional to 248.73, 372.64 and 146.07 is: 218.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.73 : 372.64 = 146.07 : x
  2. Step 2: Convert to fraction form
    248.73/372.64 = 146.07/x
  3. Step 3: Cross multiply
    248.73x = 372.64 × 146.07
  4. Step 4: Simplify right side
    248.73x = 54,431.52
  5. Step 5: Solve for x
    x = 54,431.52/248.73
  6. Step 6: Final answer
    x = 218.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.