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Finding the Fourth Proportional to 141.28, 210.06 and 137.63

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Solution

The fourth proportional to 141.28, 210.06 and 137.63 is: 204.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.28 : 210.06 = 137.63 : x
  2. Step 2: Convert to fraction form
    141.28/210.06 = 137.63/x
  3. Step 3: Cross multiply
    141.28x = 210.06 × 137.63
  4. Step 4: Simplify right side
    141.28x = 28,911.08
  5. Step 5: Solve for x
    x = 28,911.08/141.28
  6. Step 6: Final answer
    x = 204.64

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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.