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Finding the Fourth Proportional to 343.40, 517.45 and 283.86

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Solution

The fourth proportional to 343.40, 517.45 and 283.86 is: 427.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.40 : 517.45 = 283.86 : x
  2. Step 2: Convert to fraction form
    343.40/517.45 = 283.86/x
  3. Step 3: Cross multiply
    343.40x = 517.45 × 283.86
  4. Step 4: Simplify right side
    343.40x = 146,883.18
  5. Step 5: Solve for x
    x = 146,883.18/343.40
  6. Step 6: Final answer
    x = 427.74

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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.