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Finding the Fourth Proportional to 364.14, 545.40 and 209.84

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Solution

The fourth proportional to 364.14, 545.40 and 209.84 is: 314.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.14 : 545.40 = 209.84 : x
  2. Step 2: Convert to fraction form
    364.14/545.40 = 209.84/x
  3. Step 3: Cross multiply
    364.14x = 545.40 × 209.84
  4. Step 4: Simplify right side
    364.14x = 114,444.01
  5. Step 5: Solve for x
    x = 114,444.01/364.14
  6. Step 6: Final answer
    x = 314.29

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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.