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Finding the Fourth Proportional to 247.07, 340.83 and 148.80

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Solution

The fourth proportional to 247.07, 340.83 and 148.80 is: 205.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.07 : 340.83 = 148.80 : x
  2. Step 2: Convert to fraction form
    247.07/340.83 = 148.80/x
  3. Step 3: Cross multiply
    247.07x = 340.83 × 148.80
  4. Step 4: Simplify right side
    247.07x = 50,715.50
  5. Step 5: Solve for x
    x = 50,715.50/247.07
  6. Step 6: Final answer
    x = 205.27

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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.