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Finding the Fourth Proportional to 440.90, 660.88 and 148.12

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Solution

The fourth proportional to 440.90, 660.88 and 148.12 is: 222.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.90 : 660.88 = 148.12 : x
  2. Step 2: Convert to fraction form
    440.90/660.88 = 148.12/x
  3. Step 3: Cross multiply
    440.90x = 660.88 × 148.12
  4. Step 4: Simplify right side
    440.90x = 97,889.55
  5. Step 5: Solve for x
    x = 97,889.55/440.90
  6. Step 6: Final answer
    x = 222.02

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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.