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Finding the Fourth Proportional to 392.53, 540.39 and 340.78

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Solution

The fourth proportional to 392.53, 540.39 and 340.78 is: 469.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.53 : 540.39 = 340.78 : x
  2. Step 2: Convert to fraction form
    392.53/540.39 = 340.78/x
  3. Step 3: Cross multiply
    392.53x = 540.39 × 340.78
  4. Step 4: Simplify right side
    392.53x = 184,154.10
  5. Step 5: Solve for x
    x = 184,154.10/392.53
  6. Step 6: Final answer
    x = 469.15

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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.