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Finding the Fourth Proportional to 442.35, 611.61 and 387.69

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Solution

The fourth proportional to 442.35, 611.61 and 387.69 is: 536.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.35 : 611.61 = 387.69 : x
  2. Step 2: Convert to fraction form
    442.35/611.61 = 387.69/x
  3. Step 3: Cross multiply
    442.35x = 611.61 × 387.69
  4. Step 4: Simplify right side
    442.35x = 237,115.08
  5. Step 5: Solve for x
    x = 237,115.08/442.35
  6. Step 6: Final answer
    x = 536.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.