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Finding the Fourth Proportional to 410.38, 612.78 and 364.20

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Solution

The fourth proportional to 410.38, 612.78 and 364.20 is: 543.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.38 : 612.78 = 364.20 : x
  2. Step 2: Convert to fraction form
    410.38/612.78 = 364.20/x
  3. Step 3: Cross multiply
    410.38x = 612.78 × 364.20
  4. Step 4: Simplify right side
    410.38x = 223,174.48
  5. Step 5: Solve for x
    x = 223,174.48/410.38
  6. Step 6: Final answer
    x = 543.82

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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.