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Finding the Fourth Proportional to 394.32, 542.43 and 355.08

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Solution

The fourth proportional to 394.32, 542.43 and 355.08 is: 488.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.32 : 542.43 = 355.08 : x
  2. Step 2: Convert to fraction form
    394.32/542.43 = 355.08/x
  3. Step 3: Cross multiply
    394.32x = 542.43 × 355.08
  4. Step 4: Simplify right side
    394.32x = 192,606.04
  5. Step 5: Solve for x
    x = 192,606.04/394.32
  6. Step 6: Final answer
    x = 488.45

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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.