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Finding the Fourth Proportional to 346.55, 517.42 and 311.99

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Solution

The fourth proportional to 346.55, 517.42 and 311.99 is: 465.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.55 : 517.42 = 311.99 : x
  2. Step 2: Convert to fraction form
    346.55/517.42 = 311.99/x
  3. Step 3: Cross multiply
    346.55x = 517.42 × 311.99
  4. Step 4: Simplify right side
    346.55x = 161,428.31
  5. Step 5: Solve for x
    x = 161,428.31/346.55
  6. Step 6: Final answer
    x = 465.82

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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.