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Finding the Fourth Proportional to 418.03, 624.85 and 362.75

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Solution

The fourth proportional to 418.03, 624.85 and 362.75 is: 542.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.03 : 624.85 = 362.75 : x
  2. Step 2: Convert to fraction form
    418.03/624.85 = 362.75/x
  3. Step 3: Cross multiply
    418.03x = 624.85 × 362.75
  4. Step 4: Simplify right side
    418.03x = 226,660.31
  5. Step 5: Solve for x
    x = 226,660.31/418.03
  6. Step 6: Final answer
    x = 542.21

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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.