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Finding the Fourth Proportional to 364.08, 545.64 and 201.66

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Solution

The fourth proportional to 364.08, 545.64 and 201.66 is: 302.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.08 : 545.64 = 201.66 : x
  2. Step 2: Convert to fraction form
    364.08/545.64 = 201.66/x
  3. Step 3: Cross multiply
    364.08x = 545.64 × 201.66
  4. Step 4: Simplify right side
    364.08x = 110,033.76
  5. Step 5: Solve for x
    x = 110,033.76/364.08
  6. Step 6: Final answer
    x = 302.22

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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.