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Finding the Fourth Proportional to 392.03, 540.77 and 259.19

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Solution

The fourth proportional to 392.03, 540.77 and 259.19 is: 357.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.03 : 540.77 = 259.19 : x
  2. Step 2: Convert to fraction form
    392.03/540.77 = 259.19/x
  3. Step 3: Cross multiply
    392.03x = 540.77 × 259.19
  4. Step 4: Simplify right side
    392.03x = 140,158.18
  5. Step 5: Solve for x
    x = 140,158.18/392.03
  6. Step 6: Final answer
    x = 357.52

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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.