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Finding the Fourth Proportional to 149.21, 206.04 and 102.57

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Solution

The fourth proportional to 149.21, 206.04 and 102.57 is: 141.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.21 : 206.04 = 102.57 : x
  2. Step 2: Convert to fraction form
    149.21/206.04 = 102.57/x
  3. Step 3: Cross multiply
    149.21x = 206.04 × 102.57
  4. Step 4: Simplify right side
    149.21x = 21,133.52
  5. Step 5: Solve for x
    x = 21,133.52/149.21
  6. Step 6: Final answer
    x = 141.64

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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.