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Finding the Fourth Proportional to 149.37, 206.42 and 130.29

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Solution

The fourth proportional to 149.37, 206.42 and 130.29 is: 180.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.37 : 206.42 = 130.29 : x
  2. Step 2: Convert to fraction form
    149.37/206.42 = 130.29/x
  3. Step 3: Cross multiply
    149.37x = 206.42 × 130.29
  4. Step 4: Simplify right side
    149.37x = 26,893.81
  5. Step 5: Solve for x
    x = 26,893.81/149.37
  6. Step 6: Final answer
    x = 180.05

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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.