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Finding the Fourth Proportional to 343.02, 517.04 and 312.26

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Solution

The fourth proportional to 343.02, 517.04 and 312.26 is: 470.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.02 : 517.04 = 312.26 : x
  2. Step 2: Convert to fraction form
    343.02/517.04 = 312.26/x
  3. Step 3: Cross multiply
    343.02x = 517.04 × 312.26
  4. Step 4: Simplify right side
    343.02x = 161,446.76
  5. Step 5: Solve for x
    x = 161,446.76/343.02
  6. Step 6: Final answer
    x = 470.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.