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Finding the Fourth Proportional to 403.22, 605.10 and 238.70

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Solution

The fourth proportional to 403.22, 605.10 and 238.70 is: 358.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.22 : 605.10 = 238.70 : x
  2. Step 2: Convert to fraction form
    403.22/605.10 = 238.70/x
  3. Step 3: Cross multiply
    403.22x = 605.10 × 238.70
  4. Step 4: Simplify right side
    403.22x = 144,437.37
  5. Step 5: Solve for x
    x = 144,437.37/403.22
  6. Step 6: Final answer
    x = 358.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.