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Finding the Fourth Proportional to 341.80, 514.56 and 311.56

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Solution

The fourth proportional to 341.80, 514.56 and 311.56 is: 469.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.80 : 514.56 = 311.56 : x
  2. Step 2: Convert to fraction form
    341.80/514.56 = 311.56/x
  3. Step 3: Cross multiply
    341.80x = 514.56 × 311.56
  4. Step 4: Simplify right side
    341.80x = 160,316.31
  5. Step 5: Solve for x
    x = 160,316.31/341.80
  6. Step 6: Final answer
    x = 469.04

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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.