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Finding the Fourth Proportional to 248.52, 342.86 and 155.16

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Solution

The fourth proportional to 248.52, 342.86 and 155.16 is: 214.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.52 : 342.86 = 155.16 : x
  2. Step 2: Convert to fraction form
    248.52/342.86 = 155.16/x
  3. Step 3: Cross multiply
    248.52x = 342.86 × 155.16
  4. Step 4: Simplify right side
    248.52x = 53,198.16
  5. Step 5: Solve for x
    x = 53,198.16/248.52
  6. Step 6: Final answer
    x = 214.06

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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.