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Finding the Fourth Proportional to 364.04, 547.90 and 273.20

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Solution

The fourth proportional to 364.04, 547.90 and 273.20 is: 411.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.04 : 547.90 = 273.20 : x
  2. Step 2: Convert to fraction form
    364.04/547.90 = 273.20/x
  3. Step 3: Cross multiply
    364.04x = 547.90 × 273.20
  4. Step 4: Simplify right side
    364.04x = 149,686.28
  5. Step 5: Solve for x
    x = 149,686.28/364.04
  6. Step 6: Final answer
    x = 411.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.