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Finding the Fourth Proportional to 394.04, 542.76 and 277.40

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Solution

The fourth proportional to 394.04, 542.76 and 277.40 is: 382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.04 : 542.76 = 277.40 : x
  2. Step 2: Convert to fraction form
    394.04/542.76 = 277.40/x
  3. Step 3: Cross multiply
    394.04x = 542.76 × 277.40
  4. Step 4: Simplify right side
    394.04x = 150,561.62
  5. Step 5: Solve for x
    x = 150,561.62/394.04
  6. Step 6: Final answer
    x = 382.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.