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Finding the Fourth Proportional to 215.58, 296.64 and 194.88

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Solution

The fourth proportional to 215.58, 296.64 and 194.88 is: 268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.58 : 296.64 = 194.88 : x
  2. Step 2: Convert to fraction form
    215.58/296.64 = 194.88/x
  3. Step 3: Cross multiply
    215.58x = 296.64 × 194.88
  4. Step 4: Simplify right side
    215.58x = 57,809.20
  5. Step 5: Solve for x
    x = 57,809.20/215.58
  6. Step 6: Final answer
    x = 268.16

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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.