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Finding the Fourth Proportional to 356.12, 492.04 and 293.90

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Solution

The fourth proportional to 356.12, 492.04 and 293.90 is: 406.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.12 : 492.04 = 293.90 : x
  2. Step 2: Convert to fraction form
    356.12/492.04 = 293.90/x
  3. Step 3: Cross multiply
    356.12x = 492.04 × 293.90
  4. Step 4: Simplify right side
    356.12x = 144,610.56
  5. Step 5: Solve for x
    x = 144,610.56/356.12
  6. Step 6: Final answer
    x = 406.07

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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.