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Finding the Fourth Proportional to 252.36, 346.61 and 248.76

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Solution

The fourth proportional to 252.36, 346.61 and 248.76 is: 341.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.36 : 346.61 = 248.76 : x
  2. Step 2: Convert to fraction form
    252.36/346.61 = 248.76/x
  3. Step 3: Cross multiply
    252.36x = 346.61 × 248.76
  4. Step 4: Simplify right side
    252.36x = 86,222.70
  5. Step 5: Solve for x
    x = 86,222.70/252.36
  6. Step 6: Final answer
    x = 341.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.