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Finding the Fourth Proportional to 419.82, 630.24 and 197.67

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Solution

The fourth proportional to 419.82, 630.24 and 197.67 is: 296.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.82 : 630.24 = 197.67 : x
  2. Step 2: Convert to fraction form
    419.82/630.24 = 197.67/x
  3. Step 3: Cross multiply
    419.82x = 630.24 × 197.67
  4. Step 4: Simplify right side
    419.82x = 124,575.40
  5. Step 5: Solve for x
    x = 124,575.40/419.82
  6. Step 6: Final answer
    x = 296.74

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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.