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Finding the Fourth Proportional to 515.36, 711.28 and 294.39

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Solution

The fourth proportional to 515.36, 711.28 and 294.39 is: 406.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.36 : 711.28 = 294.39 : x
  2. Step 2: Convert to fraction form
    515.36/711.28 = 294.39/x
  3. Step 3: Cross multiply
    515.36x = 711.28 × 294.39
  4. Step 4: Simplify right side
    515.36x = 209,393.72
  5. Step 5: Solve for x
    x = 209,393.72/515.36
  6. Step 6: Final answer
    x = 406.31

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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.