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Finding the Fourth Proportional to 141.15, 210.69 and 122.01

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Solution

The fourth proportional to 141.15, 210.69 and 122.01 is: 182.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.15 : 210.69 = 122.01 : x
  2. Step 2: Convert to fraction form
    141.15/210.69 = 122.01/x
  3. Step 3: Cross multiply
    141.15x = 210.69 × 122.01
  4. Step 4: Simplify right side
    141.15x = 25,706.29
  5. Step 5: Solve for x
    x = 25,706.29/141.15
  6. Step 6: Final answer
    x = 182.12

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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.