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Finding the Fourth Proportional to 359.73, 538.99 and 287.44

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Solution

The fourth proportional to 359.73, 538.99 and 287.44 is: 430.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.73 : 538.99 = 287.44 : x
  2. Step 2: Convert to fraction form
    359.73/538.99 = 287.44/x
  3. Step 3: Cross multiply
    359.73x = 538.99 × 287.44
  4. Step 4: Simplify right side
    359.73x = 154,925.22
  5. Step 5: Solve for x
    x = 154,925.22/359.73
  6. Step 6: Final answer
    x = 430.67

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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.