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Finding the Fourth Proportional to 515.30, 710.43 and 349.22

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Solution

The fourth proportional to 515.30, 710.43 and 349.22 is: 481.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.30 : 710.43 = 349.22 : x
  2. Step 2: Convert to fraction form
    515.30/710.43 = 349.22/x
  3. Step 3: Cross multiply
    515.30x = 710.43 × 349.22
  4. Step 4: Simplify right side
    515.30x = 248,096.36
  5. Step 5: Solve for x
    x = 248,096.36/515.30
  6. Step 6: Final answer
    x = 481.46

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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.