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Finding the Fourth Proportional to 358.25, 536.49 and 349.07

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Solution

The fourth proportional to 358.25, 536.49 and 349.07 is: 522.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.25 : 536.49 = 349.07 : x
  2. Step 2: Convert to fraction form
    358.25/536.49 = 349.07/x
  3. Step 3: Cross multiply
    358.25x = 536.49 × 349.07
  4. Step 4: Simplify right side
    358.25x = 187,272.56
  5. Step 5: Solve for x
    x = 187,272.56/358.25
  6. Step 6: Final answer
    x = 522.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.