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Finding the Fourth Proportional to 340.11, 509.67 and 248.67

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Solution

The fourth proportional to 340.11, 509.67 and 248.67 is: 372.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.11 : 509.67 = 248.67 : x
  2. Step 2: Convert to fraction form
    340.11/509.67 = 248.67/x
  3. Step 3: Cross multiply
    340.11x = 509.67 × 248.67
  4. Step 4: Simplify right side
    340.11x = 126,739.64
  5. Step 5: Solve for x
    x = 126,739.64/340.11
  6. Step 6: Final answer
    x = 372.64

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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.