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Finding the Fourth Proportional to 259.23, 390.16 and 194.58

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Solution

The fourth proportional to 259.23, 390.16 and 194.58 is: 292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.23 : 390.16 = 194.58 : x
  2. Step 2: Convert to fraction form
    259.23/390.16 = 194.58/x
  3. Step 3: Cross multiply
    259.23x = 390.16 × 194.58
  4. Step 4: Simplify right side
    259.23x = 75,916.36
  5. Step 5: Solve for x
    x = 75,916.36/259.23
  6. Step 6: Final answer
    x = 292.85

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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.