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Finding the Fourth Proportional to 149.34, 205.64 and 148.88

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Solution

The fourth proportional to 149.34, 205.64 and 148.88 is: 205.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.34 : 205.64 = 148.88 : x
  2. Step 2: Convert to fraction form
    149.34/205.64 = 148.88/x
  3. Step 3: Cross multiply
    149.34x = 205.64 × 148.88
  4. Step 4: Simplify right side
    149.34x = 30,615.68
  5. Step 5: Solve for x
    x = 30,615.68/149.34
  6. Step 6: Final answer
    x = 205.01

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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.