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Finding the Fourth Proportional to 545.50, 818.61 and 203.50

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Solution

The fourth proportional to 545.50, 818.61 and 203.50 is: 305.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.50 : 818.61 = 203.50 : x
  2. Step 2: Convert to fraction form
    545.50/818.61 = 203.50/x
  3. Step 3: Cross multiply
    545.50x = 818.61 × 203.50
  4. Step 4: Simplify right side
    545.50x = 166,587.14
  5. Step 5: Solve for x
    x = 166,587.14/545.50
  6. Step 6: Final answer
    x = 305.38

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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.