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Finding the Fourth Proportional to 358.36, 494.60 and 260.40

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Solution

The fourth proportional to 358.36, 494.60 and 260.40 is: 359.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.36 : 494.60 = 260.40 : x
  2. Step 2: Convert to fraction form
    358.36/494.60 = 260.40/x
  3. Step 3: Cross multiply
    358.36x = 494.60 × 260.40
  4. Step 4: Simplify right side
    358.36x = 128,793.84
  5. Step 5: Solve for x
    x = 128,793.84/358.36
  6. Step 6: Final answer
    x = 359.40

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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.