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Finding the Fourth Proportional to 359.62, 538.95 and 164.64

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Solution

The fourth proportional to 359.62, 538.95 and 164.64 is: 246.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.62 : 538.95 = 164.64 : x
  2. Step 2: Convert to fraction form
    359.62/538.95 = 164.64/x
  3. Step 3: Cross multiply
    359.62x = 538.95 × 164.64
  4. Step 4: Simplify right side
    359.62x = 88,732.73
  5. Step 5: Solve for x
    x = 88,732.73/359.62
  6. Step 6: Final answer
    x = 246.74

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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.