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Finding the Fourth Proportional to 343.32, 517.16 and 339.06

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Solution

The fourth proportional to 343.32, 517.16 and 339.06 is: 510.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.32 : 517.16 = 339.06 : x
  2. Step 2: Convert to fraction form
    343.32/517.16 = 339.06/x
  3. Step 3: Cross multiply
    343.32x = 517.16 × 339.06
  4. Step 4: Simplify right side
    343.32x = 175,346.57
  5. Step 5: Solve for x
    x = 175,346.57/343.32
  6. Step 6: Final answer
    x = 510.74

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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.