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Finding the Fourth Proportional to 149.50, 203.55 and 149.04

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Solution

The fourth proportional to 149.50, 203.55 and 149.04 is: 202.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.50 : 203.55 = 149.04 : x
  2. Step 2: Convert to fraction form
    149.50/203.55 = 149.04/x
  3. Step 3: Cross multiply
    149.50x = 203.55 × 149.04
  4. Step 4: Simplify right side
    149.50x = 30,336.11
  5. Step 5: Solve for x
    x = 30,336.11/149.50
  6. Step 6: Final answer
    x = 202.92

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.