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Finding the Fourth Proportional to 345.96, 517.86 and 248.30

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Solution

The fourth proportional to 345.96, 517.86 and 248.30 is: 371.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.96 : 517.86 = 248.30 : x
  2. Step 2: Convert to fraction form
    345.96/517.86 = 248.30/x
  3. Step 3: Cross multiply
    345.96x = 517.86 × 248.30
  4. Step 4: Simplify right side
    345.96x = 128,582.05
  5. Step 5: Solve for x
    x = 128,582.05/345.96
  6. Step 6: Final answer
    x = 371.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.