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Finding the Fourth Proportional to 215.09, 297 and 141.55

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Solution

The fourth proportional to 215.09, 297 and 141.55 is: 195.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.09 : 297 = 141.55 : x
  2. Step 2: Convert to fraction form
    215.09/297 = 141.55/x
  3. Step 3: Cross multiply
    215.09x = 297 × 141.55
  4. Step 4: Simplify right side
    215.09x = 42,039.61
  5. Step 5: Solve for x
    x = 42,039.61/215.09
  6. Step 6: Final answer
    x = 195.45

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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.