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Finding the Fourth Proportional to 346.43, 519.71 and 285.82

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Solution

The fourth proportional to 346.43, 519.71 and 285.82 is: 428.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.43 : 519.71 = 285.82 : x
  2. Step 2: Convert to fraction form
    346.43/519.71 = 285.82/x
  3. Step 3: Cross multiply
    346.43x = 519.71 × 285.82
  4. Step 4: Simplify right side
    346.43x = 148,543.51
  5. Step 5: Solve for x
    x = 148,543.51/346.43
  6. Step 6: Final answer
    x = 428.78

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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.