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Finding the Fourth Proportional to 141.02, 210.20 and 130.09

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Solution

The fourth proportional to 141.02, 210.20 and 130.09 is: 193.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.02 : 210.20 = 130.09 : x
  2. Step 2: Convert to fraction form
    141.02/210.20 = 130.09/x
  3. Step 3: Cross multiply
    141.02x = 210.20 × 130.09
  4. Step 4: Simplify right side
    141.02x = 27,344.72
  5. Step 5: Solve for x
    x = 27,344.72/141.02
  6. Step 6: Final answer
    x = 193.90

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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.