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Finding the Fourth Proportional to 515.36, 710.16 and 367.76

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Solution

The fourth proportional to 515.36, 710.16 and 367.76 is: 506.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.36 : 710.16 = 367.76 : x
  2. Step 2: Convert to fraction form
    515.36/710.16 = 367.76/x
  3. Step 3: Cross multiply
    515.36x = 710.16 × 367.76
  4. Step 4: Simplify right side
    515.36x = 261,168.44
  5. Step 5: Solve for x
    x = 261,168.44/515.36
  6. Step 6: Final answer
    x = 506.77

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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.