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Finding the Fourth Proportional to 343.21, 515.04 and 150.84

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Solution

The fourth proportional to 343.21, 515.04 and 150.84 is: 226.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.21 : 515.04 = 150.84 : x
  2. Step 2: Convert to fraction form
    343.21/515.04 = 150.84/x
  3. Step 3: Cross multiply
    343.21x = 515.04 × 150.84
  4. Step 4: Simplify right side
    343.21x = 77,688.63
  5. Step 5: Solve for x
    x = 77,688.63/343.21
  6. Step 6: Final answer
    x = 226.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.