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Finding the Fourth Proportional to 209.02, 312.99 and 140.53

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Solution

The fourth proportional to 209.02, 312.99 and 140.53 is: 210.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.02 : 312.99 = 140.53 : x
  2. Step 2: Convert to fraction form
    209.02/312.99 = 140.53/x
  3. Step 3: Cross multiply
    209.02x = 312.99 × 140.53
  4. Step 4: Simplify right side
    209.02x = 43,984.48
  5. Step 5: Solve for x
    x = 43,984.48/209.02
  6. Step 6: Final answer
    x = 210.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.