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Finding the Fourth Proportional to 215.04, 294.72 and 211.26

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Solution

The fourth proportional to 215.04, 294.72 and 211.26 is: 289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.04 : 294.72 = 211.26 : x
  2. Step 2: Convert to fraction form
    215.04/294.72 = 211.26/x
  3. Step 3: Cross multiply
    215.04x = 294.72 × 211.26
  4. Step 4: Simplify right side
    215.04x = 62,262.55
  5. Step 5: Solve for x
    x = 62,262.55/215.04
  6. Step 6: Final answer
    x = 289.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.