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Finding the Fourth Proportional to 515.34, 710.06 and 349.26

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Solution

The fourth proportional to 515.34, 710.06 and 349.26 is: 481.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.34 : 710.06 = 349.26 : x
  2. Step 2: Convert to fraction form
    515.34/710.06 = 349.26/x
  3. Step 3: Cross multiply
    515.34x = 710.06 × 349.26
  4. Step 4: Simplify right side
    515.34x = 247,993.81
  5. Step 5: Solve for x
    x = 247,993.81/515.34
  6. Step 6: Final answer
    x = 481.22

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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.