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Finding the Fourth Proportional to 364.20, 543.84 and 342.42

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Solution

The fourth proportional to 364.20, 543.84 and 342.42 is: 511.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.20 : 543.84 = 342.42 : x
  2. Step 2: Convert to fraction form
    364.20/543.84 = 342.42/x
  3. Step 3: Cross multiply
    364.20x = 543.84 × 342.42
  4. Step 4: Simplify right side
    364.20x = 186,221.69
  5. Step 5: Solve for x
    x = 186,221.69/364.20
  6. Step 6: Final answer
    x = 511.32

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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.