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Finding the Fourth Proportional to 141.80, 188.45 and 141.80

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Solution

The fourth proportional to 141.80, 188.45 and 141.80 is: 188.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.80 : 188.45 = 141.80 : x
  2. Step 2: Convert to fraction form
    141.80/188.45 = 141.80/x
  3. Step 3: Cross multiply
    141.80x = 188.45 × 141.80
  4. Step 4: Simplify right side
    141.80x = 26,722.21
  5. Step 5: Solve for x
    x = 26,722.21/141.80
  6. Step 6: Final answer
    x = 188.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.