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Finding the Fourth Proportional to 442.02, 609.45 and 358.82

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Solution

The fourth proportional to 442.02, 609.45 and 358.82 is: 494.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.02 : 609.45 = 358.82 : x
  2. Step 2: Convert to fraction form
    442.02/609.45 = 358.82/x
  3. Step 3: Cross multiply
    442.02x = 609.45 × 358.82
  4. Step 4: Simplify right side
    442.02x = 218,682.85
  5. Step 5: Solve for x
    x = 218,682.85/442.02
  6. Step 6: Final answer
    x = 494.74

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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.