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Finding the Fourth Proportional to 293.86, 403.38 and 260.38

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Solution

The fourth proportional to 293.86, 403.38 and 260.38 is: 357.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.86 : 403.38 = 260.38 : x
  2. Step 2: Convert to fraction form
    293.86/403.38 = 260.38/x
  3. Step 3: Cross multiply
    293.86x = 403.38 × 260.38
  4. Step 4: Simplify right side
    293.86x = 105,030.78
  5. Step 5: Solve for x
    x = 105,030.78/293.86
  6. Step 6: Final answer
    x = 357.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.