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Finding the Fourth Proportional to 248.64, 343.31 and 155.53

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Solution

The fourth proportional to 248.64, 343.31 and 155.53 is: 214.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.64 : 343.31 = 155.53 : x
  2. Step 2: Convert to fraction form
    248.64/343.31 = 155.53/x
  3. Step 3: Cross multiply
    248.64x = 343.31 × 155.53
  4. Step 4: Simplify right side
    248.64x = 53,393.29
  5. Step 5: Solve for x
    x = 53,393.29/248.64
  6. Step 6: Final answer
    x = 214.74

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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.