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Finding the Fourth Proportional to 141.16, 209.32 and 138.40

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Solution

The fourth proportional to 141.16, 209.32 and 138.40 is: 205.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.16 : 209.32 = 138.40 : x
  2. Step 2: Convert to fraction form
    141.16/209.32 = 138.40/x
  3. Step 3: Cross multiply
    141.16x = 209.32 × 138.40
  4. Step 4: Simplify right side
    141.16x = 28,969.89
  5. Step 5: Solve for x
    x = 28,969.89/141.16
  6. Step 6: Final answer
    x = 205.23

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.