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Finding the Fourth Proportional to 215.83, 325.25 and 194.18

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Solution

The fourth proportional to 215.83, 325.25 and 194.18 is: 292.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.83 : 325.25 = 194.18 : x
  2. Step 2: Convert to fraction form
    215.83/325.25 = 194.18/x
  3. Step 3: Cross multiply
    215.83x = 325.25 × 194.18
  4. Step 4: Simplify right side
    215.83x = 63,159.20
  5. Step 5: Solve for x
    x = 63,159.20/215.83
  6. Step 6: Final answer
    x = 292.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.