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Finding the Fourth Proportional to 164.43, 247.61 and 148.95

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Solution

The fourth proportional to 164.43, 247.61 and 148.95 is: 224.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.43 : 247.61 = 148.95 : x
  2. Step 2: Convert to fraction form
    164.43/247.61 = 148.95/x
  3. Step 3: Cross multiply
    164.43x = 247.61 × 148.95
  4. Step 4: Simplify right side
    164.43x = 36,880.76
  5. Step 5: Solve for x
    x = 36,880.76/164.43
  6. Step 6: Final answer
    x = 224.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.