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Finding the Fourth Proportional to 442.22, 609.06 and 375.74

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Solution

The fourth proportional to 442.22, 609.06 and 375.74 is: 517.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.22 : 609.06 = 375.74 : x
  2. Step 2: Convert to fraction form
    442.22/609.06 = 375.74/x
  3. Step 3: Cross multiply
    442.22x = 609.06 × 375.74
  4. Step 4: Simplify right side
    442.22x = 228,848.20
  5. Step 5: Solve for x
    x = 228,848.20/442.22
  6. Step 6: Final answer
    x = 517.50

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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.