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Finding the Fourth Proportional to 341.46, 514.11 and 311.64

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Solution

The fourth proportional to 341.46, 514.11 and 311.64 is: 469.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.46 : 514.11 = 311.64 : x
  2. Step 2: Convert to fraction form
    341.46/514.11 = 311.64/x
  3. Step 3: Cross multiply
    341.46x = 514.11 × 311.64
  4. Step 4: Simplify right side
    341.46x = 160,217.24
  5. Step 5: Solve for x
    x = 160,217.24/341.46
  6. Step 6: Final answer
    x = 469.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.