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Finding the Fourth Proportional to 215.64, 296.17 and 191.06

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Solution

The fourth proportional to 215.64, 296.17 and 191.06 is: 262.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.64 : 296.17 = 191.06 : x
  2. Step 2: Convert to fraction form
    215.64/296.17 = 191.06/x
  3. Step 3: Cross multiply
    215.64x = 296.17 × 191.06
  4. Step 4: Simplify right side
    215.64x = 56,586.24
  5. Step 5: Solve for x
    x = 56,586.24/215.64
  6. Step 6: Final answer
    x = 262.41

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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.