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Finding the Fourth Proportional to 252.30, 348.11 and 154.02

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Solution

The fourth proportional to 252.30, 348.11 and 154.02 is: 212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.30 : 348.11 = 154.02 : x
  2. Step 2: Convert to fraction form
    252.30/348.11 = 154.02/x
  3. Step 3: Cross multiply
    252.30x = 348.11 × 154.02
  4. Step 4: Simplify right side
    252.30x = 53,613.39
  5. Step 5: Solve for x
    x = 53,613.39/252.30
  6. Step 6: Final answer
    x = 212.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.