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Finding the Fourth Proportional to 259.49, 390.53 and 194.82

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Solution

The fourth proportional to 259.49, 390.53 and 194.82 is: 293.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.49 : 390.53 = 194.82 : x
  2. Step 2: Convert to fraction form
    259.49/390.53 = 194.82/x
  3. Step 3: Cross multiply
    259.49x = 390.53 × 194.82
  4. Step 4: Simplify right side
    259.49x = 76,082.08
  5. Step 5: Solve for x
    x = 76,082.08/259.49
  6. Step 6: Final answer
    x = 293.20

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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.