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Finding the Fourth Proportional to 358.78, 497.63 and 344.20

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Solution

The fourth proportional to 358.78, 497.63 and 344.20 is: 477.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.78 : 497.63 = 344.20 : x
  2. Step 2: Convert to fraction form
    358.78/497.63 = 344.20/x
  3. Step 3: Cross multiply
    358.78x = 497.63 × 344.20
  4. Step 4: Simplify right side
    358.78x = 171,284.25
  5. Step 5: Solve for x
    x = 171,284.25/358.78
  6. Step 6: Final answer
    x = 477.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.