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Finding the Fourth Proportional to 346.28, 517.18 and 313.72

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Solution

The fourth proportional to 346.28, 517.18 and 313.72 is: 468.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.28 : 517.18 = 313.72 : x
  2. Step 2: Convert to fraction form
    346.28/517.18 = 313.72/x
  3. Step 3: Cross multiply
    346.28x = 517.18 × 313.72
  4. Step 4: Simplify right side
    346.28x = 162,245.56
  5. Step 5: Solve for x
    x = 162,245.56/346.28
  6. Step 6: Final answer
    x = 468.54

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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.