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Finding the Fourth Proportional to 248.58, 343 and 155.30

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Solution

The fourth proportional to 248.58, 343 and 155.30 is: 214.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.58 : 343 = 155.30 : x
  2. Step 2: Convert to fraction form
    248.58/343 = 155.30/x
  3. Step 3: Cross multiply
    248.58x = 343 × 155.30
  4. Step 4: Simplify right side
    248.58x = 53,267.90
  5. Step 5: Solve for x
    x = 53,267.90/248.58
  6. Step 6: Final answer
    x = 214.29

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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.