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Finding the Fourth Proportional to 396.25, 545.50 and 340.76

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Solution

The fourth proportional to 396.25, 545.50 and 340.76 is: 469.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.25 : 545.50 = 340.76 : x
  2. Step 2: Convert to fraction form
    396.25/545.50 = 340.76/x
  3. Step 3: Cross multiply
    396.25x = 545.50 × 340.76
  4. Step 4: Simplify right side
    396.25x = 185,886.37
  5. Step 5: Solve for x
    x = 185,886.37/396.25
  6. Step 6: Final answer
    x = 469.12

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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.