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Finding the Fourth Proportional to 248.50, 343.02 and 145

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Solution

The fourth proportional to 248.50, 343.02 and 145 is: 200.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.50 : 343.02 = 145 : x
  2. Step 2: Convert to fraction form
    248.50/343.02 = 145/x
  3. Step 3: Cross multiply
    248.50x = 343.02 × 145
  4. Step 4: Simplify right side
    248.50x = 49,737.90
  5. Step 5: Solve for x
    x = 49,737.90/248.50
  6. Step 6: Final answer
    x = 200.15

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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.