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Finding the Fourth Proportional to 215.45, 297.23 and 153.42

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Solution

The fourth proportional to 215.45, 297.23 and 153.42 is: 211.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.45 : 297.23 = 153.42 : x
  2. Step 2: Convert to fraction form
    215.45/297.23 = 153.42/x
  3. Step 3: Cross multiply
    215.45x = 297.23 × 153.42
  4. Step 4: Simplify right side
    215.45x = 45,601.03
  5. Step 5: Solve for x
    x = 45,601.03/215.45
  6. Step 6: Final answer
    x = 211.65

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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.