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Finding the Fourth Proportional to 248.39, 342.83 and 189.53

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Solution

The fourth proportional to 248.39, 342.83 and 189.53 is: 261.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.39 : 342.83 = 189.53 : x
  2. Step 2: Convert to fraction form
    248.39/342.83 = 189.53/x
  3. Step 3: Cross multiply
    248.39x = 342.83 × 189.53
  4. Step 4: Simplify right side
    248.39x = 64,973.91
  5. Step 5: Solve for x
    x = 64,973.91/248.39
  6. Step 6: Final answer
    x = 261.59

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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.