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Finding the Fourth Proportional to 247.11, 370.36 and 164.79

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Solution

The fourth proportional to 247.11, 370.36 and 164.79 is: 246.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.11 : 370.36 = 164.79 : x
  2. Step 2: Convert to fraction form
    247.11/370.36 = 164.79/x
  3. Step 3: Cross multiply
    247.11x = 370.36 × 164.79
  4. Step 4: Simplify right side
    247.11x = 61,030.80
  5. Step 5: Solve for x
    x = 61,030.80/247.11
  6. Step 6: Final answer
    x = 246.98

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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.