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Finding the Fourth Proportional to 346.30, 518.20 and 264.49

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Solution

The fourth proportional to 346.30, 518.20 and 264.49 is: 395.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.30 : 518.20 = 264.49 : x
  2. Step 2: Convert to fraction form
    346.30/518.20 = 264.49/x
  3. Step 3: Cross multiply
    346.30x = 518.20 × 264.49
  4. Step 4: Simplify right side
    346.30x = 137,056.76
  5. Step 5: Solve for x
    x = 137,056.76/346.30
  6. Step 6: Final answer
    x = 395.78

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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.