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Finding the Fourth Proportional to 392.95, 541.16 and 362.17

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Solution

The fourth proportional to 392.95, 541.16 and 362.17 is: 498.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.95 : 541.16 = 362.17 : x
  2. Step 2: Convert to fraction form
    392.95/541.16 = 362.17/x
  3. Step 3: Cross multiply
    392.95x = 541.16 × 362.17
  4. Step 4: Simplify right side
    392.95x = 195,989.21
  5. Step 5: Solve for x
    x = 195,989.21/392.95
  6. Step 6: Final answer
    x = 498.77

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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.