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Finding the Fourth Proportional to 391.95, 540.81 and 313.29

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Solution

The fourth proportional to 391.95, 540.81 and 313.29 is: 432.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.95 : 540.81 = 313.29 : x
  2. Step 2: Convert to fraction form
    391.95/540.81 = 313.29/x
  3. Step 3: Cross multiply
    391.95x = 540.81 × 313.29
  4. Step 4: Simplify right side
    391.95x = 169,430.36
  5. Step 5: Solve for x
    x = 169,430.36/391.95
  6. Step 6: Final answer
    x = 432.28

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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.