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Finding the Fourth Proportional to 248.72, 342.98 and 189.86

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Solution

The fourth proportional to 248.72, 342.98 and 189.86 is: 261.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.72 : 342.98 = 189.86 : x
  2. Step 2: Convert to fraction form
    248.72/342.98 = 189.86/x
  3. Step 3: Cross multiply
    248.72x = 342.98 × 189.86
  4. Step 4: Simplify right side
    248.72x = 65,118.18
  5. Step 5: Solve for x
    x = 65,118.18/248.72
  6. Step 6: Final answer
    x = 261.81

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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.