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Finding the Fourth Proportional to 359.08, 534.77 and 349.36

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Solution

The fourth proportional to 359.08, 534.77 and 349.36 is: 520.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.08 : 534.77 = 349.36 : x
  2. Step 2: Convert to fraction form
    359.08/534.77 = 349.36/x
  3. Step 3: Cross multiply
    359.08x = 534.77 × 349.36
  4. Step 4: Simplify right side
    359.08x = 186,827.25
  5. Step 5: Solve for x
    x = 186,827.25/359.08
  6. Step 6: Final answer
    x = 520.29

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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.