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Finding the Fourth Proportional to 364.05, 543.45 and 309.36

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Solution

The fourth proportional to 364.05, 543.45 and 309.36 is: 461.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.05 : 543.45 = 309.36 : x
  2. Step 2: Convert to fraction form
    364.05/543.45 = 309.36/x
  3. Step 3: Cross multiply
    364.05x = 543.45 × 309.36
  4. Step 4: Simplify right side
    364.05x = 168,121.69
  5. Step 5: Solve for x
    x = 168,121.69/364.05
  6. Step 6: Final answer
    x = 461.81

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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.