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Finding the Fourth Proportional to 149.57, 206.40 and 94.31

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Solution

The fourth proportional to 149.57, 206.40 and 94.31 is: 130.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.57 : 206.40 = 94.31 : x
  2. Step 2: Convert to fraction form
    149.57/206.40 = 94.31/x
  3. Step 3: Cross multiply
    149.57x = 206.40 × 94.31
  4. Step 4: Simplify right side
    149.57x = 19,465.58
  5. Step 5: Solve for x
    x = 19,465.58/149.57
  6. Step 6: Final answer
    x = 130.14

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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.