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Finding the Fourth Proportional to 364.16, 545.20 and 199.20

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Solution

The fourth proportional to 364.16, 545.20 and 199.20 is: 298.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.16 : 545.20 = 199.20 : x
  2. Step 2: Convert to fraction form
    364.16/545.20 = 199.20/x
  3. Step 3: Cross multiply
    364.16x = 545.20 × 199.20
  4. Step 4: Simplify right side
    364.16x = 108,603.84
  5. Step 5: Solve for x
    x = 108,603.84/364.16
  6. Step 6: Final answer
    x = 298.23

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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.