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Finding the Fourth Proportional to 164.50, 247.21 and 124.40

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Solution

The fourth proportional to 164.50, 247.21 and 124.40 is: 186.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.50 : 247.21 = 124.40 : x
  2. Step 2: Convert to fraction form
    164.50/247.21 = 124.40/x
  3. Step 3: Cross multiply
    164.50x = 247.21 × 124.40
  4. Step 4: Simplify right side
    164.50x = 30,753.23
  5. Step 5: Solve for x
    x = 30,753.23/164.50
  6. Step 6: Final answer
    x = 186.95

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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.