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Finding the Fourth Proportional to 515.13, 710.64 and 338.28

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Solution

The fourth proportional to 515.13, 710.64 and 338.28 is: 466.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.13 : 710.64 = 338.28 : x
  2. Step 2: Convert to fraction form
    515.13/710.64 = 338.28/x
  3. Step 3: Cross multiply
    515.13x = 710.64 × 338.28
  4. Step 4: Simplify right side
    515.13x = 240,395.30
  5. Step 5: Solve for x
    x = 240,395.30/515.13
  6. Step 6: Final answer
    x = 466.67

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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.