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Finding the Fourth Proportional to 359.70, 535.90 and 354.68

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Solution

The fourth proportional to 359.70, 535.90 and 354.68 is: 528.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.70 : 535.90 = 354.68 : x
  2. Step 2: Convert to fraction form
    359.70/535.90 = 354.68/x
  3. Step 3: Cross multiply
    359.70x = 535.90 × 354.68
  4. Step 4: Simplify right side
    359.70x = 190,073.01
  5. Step 5: Solve for x
    x = 190,073.01/359.70
  6. Step 6: Final answer
    x = 528.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.