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Finding the Fourth Proportional to 140.04, 211.23 and 133.02

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Solution

The fourth proportional to 140.04, 211.23 and 133.02 is: 200.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.04 : 211.23 = 133.02 : x
  2. Step 2: Convert to fraction form
    140.04/211.23 = 133.02/x
  3. Step 3: Cross multiply
    140.04x = 211.23 × 133.02
  4. Step 4: Simplify right side
    140.04x = 28,097.81
  5. Step 5: Solve for x
    x = 28,097.81/140.04
  6. Step 6: Final answer
    x = 200.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.