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Finding the Fourth Proportional to 392.30, 540.79 and 298.88

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Solution

The fourth proportional to 392.30, 540.79 and 298.88 is: 412.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.30 : 540.79 = 298.88 : x
  2. Step 2: Convert to fraction form
    392.30/540.79 = 298.88/x
  3. Step 3: Cross multiply
    392.30x = 540.79 × 298.88
  4. Step 4: Simplify right side
    392.30x = 161,631.32
  5. Step 5: Solve for x
    x = 161,631.32/392.30
  6. Step 6: Final answer
    x = 412.01

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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.