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Finding the Fourth Proportional to 346.60, 517.87 and 284.94

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Solution

The fourth proportional to 346.60, 517.87 and 284.94 is: 425.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.60 : 517.87 = 284.94 : x
  2. Step 2: Convert to fraction form
    346.60/517.87 = 284.94/x
  3. Step 3: Cross multiply
    346.60x = 517.87 × 284.94
  4. Step 4: Simplify right side
    346.60x = 147,561.88
  5. Step 5: Solve for x
    x = 147,561.88/346.60
  6. Step 6: Final answer
    x = 425.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.