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Finding the Fourth Proportional to 358.43, 494.33 and 260.19

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Solution

The fourth proportional to 358.43, 494.33 and 260.19 is: 358.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.43 : 494.33 = 260.19 : x
  2. Step 2: Convert to fraction form
    358.43/494.33 = 260.19/x
  3. Step 3: Cross multiply
    358.43x = 494.33 × 260.19
  4. Step 4: Simplify right side
    358.43x = 128,618.42
  5. Step 5: Solve for x
    x = 128,618.42/358.43
  6. Step 6: Final answer
    x = 358.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.