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Finding the Fourth Proportional to 341.12, 514.18 and 311.91

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Solution

The fourth proportional to 341.12, 514.18 and 311.91 is: 470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.12 : 514.18 = 311.91 : x
  2. Step 2: Convert to fraction form
    341.12/514.18 = 311.91/x
  3. Step 3: Cross multiply
    341.12x = 514.18 × 311.91
  4. Step 4: Simplify right side
    341.12x = 160,376.35
  5. Step 5: Solve for x
    x = 160,376.35/341.12
  6. Step 6: Final answer
    x = 470.14

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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.