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Finding the Fourth Proportional to 343.61, 517.73 and 284.07

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Solution

The fourth proportional to 343.61, 517.73 and 284.07 is: 428.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.61 : 517.73 = 284.07 : x
  2. Step 2: Convert to fraction form
    343.61/517.73 = 284.07/x
  3. Step 3: Cross multiply
    343.61x = 517.73 × 284.07
  4. Step 4: Simplify right side
    343.61x = 147,070.14
  5. Step 5: Solve for x
    x = 147,070.14/343.61
  6. Step 6: Final answer
    x = 428.02

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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.