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Finding the Fourth Proportional to 259.42, 390.44 and 194.77

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Solution

The fourth proportional to 259.42, 390.44 and 194.77 is: 293.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.42 : 390.44 = 194.77 : x
  2. Step 2: Convert to fraction form
    259.42/390.44 = 194.77/x
  3. Step 3: Cross multiply
    259.42x = 390.44 × 194.77
  4. Step 4: Simplify right side
    259.42x = 76,043.07
  5. Step 5: Solve for x
    x = 76,043.07/259.42
  6. Step 6: Final answer
    x = 293.13

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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.