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Finding the Fourth Proportional to 392.08, 538.08 and 355.16

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Solution

The fourth proportional to 392.08, 538.08 and 355.16 is: 487.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.08 : 538.08 = 355.16 : x
  2. Step 2: Convert to fraction form
    392.08/538.08 = 355.16/x
  3. Step 3: Cross multiply
    392.08x = 538.08 × 355.16
  4. Step 4: Simplify right side
    392.08x = 191,104.49
  5. Step 5: Solve for x
    x = 191,104.49/392.08
  6. Step 6: Final answer
    x = 487.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.