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Finding the Fourth Proportional to 442.03, 609.55 and 380.07

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Solution

The fourth proportional to 442.03, 609.55 and 380.07 is: 524.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.03 : 609.55 = 380.07 : x
  2. Step 2: Convert to fraction form
    442.03/609.55 = 380.07/x
  3. Step 3: Cross multiply
    442.03x = 609.55 × 380.07
  4. Step 4: Simplify right side
    442.03x = 231,671.67
  5. Step 5: Solve for x
    x = 231,671.67/442.03
  6. Step 6: Final answer
    x = 524.11

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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.