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Finding the Fourth Proportional to 392.02, 540.55 and 267.75

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Solution

The fourth proportional to 392.02, 540.55 and 267.75 is: 369.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.02 : 540.55 = 267.75 : x
  2. Step 2: Convert to fraction form
    392.02/540.55 = 267.75/x
  3. Step 3: Cross multiply
    392.02x = 540.55 × 267.75
  4. Step 4: Simplify right side
    392.02x = 144,728.22
  5. Step 5: Solve for x
    x = 144,728.22/392.02
  6. Step 6: Final answer
    x = 369.19

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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.