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Finding the Fourth Proportional to 215.51, 297.20 and 141.80

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Solution

The fourth proportional to 215.51, 297.20 and 141.80 is: 195.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.51 : 297.20 = 141.80 : x
  2. Step 2: Convert to fraction form
    215.51/297.20 = 141.80/x
  3. Step 3: Cross multiply
    215.51x = 297.20 × 141.80
  4. Step 4: Simplify right side
    215.51x = 42,141.47
  5. Step 5: Solve for x
    x = 42,141.47/215.51
  6. Step 6: Final answer
    x = 195.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.