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Finding the Fourth Proportional to 392.02, 540.35 and 313.08

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Solution

The fourth proportional to 392.02, 540.35 and 313.08 is: 431.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.02 : 540.35 = 313.08 : x
  2. Step 2: Convert to fraction form
    392.02/540.35 = 313.08/x
  3. Step 3: Cross multiply
    392.02x = 540.35 × 313.08
  4. Step 4: Simplify right side
    392.02x = 169,170.08
  5. Step 5: Solve for x
    x = 169,170.08/392.02
  6. Step 6: Final answer
    x = 431.54

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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.