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Finding the Fourth Proportional to 359.93, 535.87 and 354.80

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Solution

The fourth proportional to 359.93, 535.87 and 354.80 is: 528.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.93 : 535.87 = 354.80 : x
  2. Step 2: Convert to fraction form
    359.93/535.87 = 354.80/x
  3. Step 3: Cross multiply
    359.93x = 535.87 × 354.80
  4. Step 4: Simplify right side
    359.93x = 190,123.11
  5. Step 5: Solve for x
    x = 190,123.11/359.93
  6. Step 6: Final answer
    x = 528.23

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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.