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Finding the Fourth Proportional to 364.04, 545.99 and 144.61

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Solution

The fourth proportional to 364.04, 545.99 and 144.61 is: 216.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.04 : 545.99 = 144.61 : x
  2. Step 2: Convert to fraction form
    364.04/545.99 = 144.61/x
  3. Step 3: Cross multiply
    364.04x = 545.99 × 144.61
  4. Step 4: Simplify right side
    364.04x = 78,953.53
  5. Step 5: Solve for x
    x = 78,953.53/364.04
  6. Step 6: Final answer
    x = 216.88

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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.