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Finding the Fourth Proportional to 366.05, 545.40 and 345.09

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Solution

The fourth proportional to 366.05, 545.40 and 345.09 is: 514.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.05 : 545.40 = 345.09 : x
  2. Step 2: Convert to fraction form
    366.05/545.40 = 345.09/x
  3. Step 3: Cross multiply
    366.05x = 545.40 × 345.09
  4. Step 4: Simplify right side
    366.05x = 188,214.13
  5. Step 5: Solve for x
    x = 188,214.13/366.05
  6. Step 6: Final answer
    x = 514.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.