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Finding the Fourth Proportional to 202.66, 304.09 and 140.02

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Solution

The fourth proportional to 202.66, 304.09 and 140.02 is: 210.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.66 : 304.09 = 140.02 : x
  2. Step 2: Convert to fraction form
    202.66/304.09 = 140.02/x
  3. Step 3: Cross multiply
    202.66x = 304.09 × 140.02
  4. Step 4: Simplify right side
    202.66x = 42,577.57
  5. Step 5: Solve for x
    x = 42,577.57/202.66
  6. Step 6: Final answer
    x = 210.10

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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.