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Finding the Fourth Proportional to 343.85, 514.35 and 288.63

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Solution

The fourth proportional to 343.85, 514.35 and 288.63 is: 431.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.85 : 514.35 = 288.63 : x
  2. Step 2: Convert to fraction form
    343.85/514.35 = 288.63/x
  3. Step 3: Cross multiply
    343.85x = 514.35 × 288.63
  4. Step 4: Simplify right side
    343.85x = 148,456.84
  5. Step 5: Solve for x
    x = 148,456.84/343.85
  6. Step 6: Final answer
    x = 431.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.