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Finding the Fourth Proportional to 391.77, 540.40 and 252.07

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Solution

The fourth proportional to 391.77, 540.40 and 252.07 is: 347.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.77 : 540.40 = 252.07 : x
  2. Step 2: Convert to fraction form
    391.77/540.40 = 252.07/x
  3. Step 3: Cross multiply
    391.77x = 540.40 × 252.07
  4. Step 4: Simplify right side
    391.77x = 136,216.02
  5. Step 5: Solve for x
    x = 136,216.02/391.77
  6. Step 6: Final answer
    x = 347.69

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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.