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Finding the Fourth Proportional to 364.95, 548.40 and 200.55

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Solution

The fourth proportional to 364.95, 548.40 and 200.55 is: 301.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.95 : 548.40 = 200.55 : x
  2. Step 2: Convert to fraction form
    364.95/548.40 = 200.55/x
  3. Step 3: Cross multiply
    364.95x = 548.40 × 200.55
  4. Step 4: Simplify right side
    364.95x = 109,981.62
  5. Step 5: Solve for x
    x = 109,981.62/364.95
  6. Step 6: Final answer
    x = 301.36

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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.