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Finding the Fourth Proportional to 149.59, 223.10 and 135.01

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Solution

The fourth proportional to 149.59, 223.10 and 135.01 is: 201.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.59 : 223.10 = 135.01 : x
  2. Step 2: Convert to fraction form
    149.59/223.10 = 135.01/x
  3. Step 3: Cross multiply
    149.59x = 223.10 × 135.01
  4. Step 4: Simplify right side
    149.59x = 30,119.50
  5. Step 5: Solve for x
    x = 30,119.50/149.59
  6. Step 6: Final answer
    x = 201.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.