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Finding the Fourth Proportional to 387.52, 578.03 and 350.62

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Solution

The fourth proportional to 387.52, 578.03 and 350.62 is: 522.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.52 : 578.03 = 350.62 : x
  2. Step 2: Convert to fraction form
    387.52/578.03 = 350.62/x
  3. Step 3: Cross multiply
    387.52x = 578.03 × 350.62
  4. Step 4: Simplify right side
    387.52x = 202,668.88
  5. Step 5: Solve for x
    x = 202,668.88/387.52
  6. Step 6: Final answer
    x = 522.99

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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.