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Finding the Fourth Proportional to 358.70, 497.54 and 349.22

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Solution

The fourth proportional to 358.70, 497.54 and 349.22 is: 484.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.70 : 497.54 = 349.22 : x
  2. Step 2: Convert to fraction form
    358.70/497.54 = 349.22/x
  3. Step 3: Cross multiply
    358.70x = 497.54 × 349.22
  4. Step 4: Simplify right side
    358.70x = 173,750.92
  5. Step 5: Solve for x
    x = 173,750.92/358.70
  6. Step 6: Final answer
    x = 484.39

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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.