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Finding the Fourth Proportional to 343.59, 514.64 and 228.09

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Solution

The fourth proportional to 343.59, 514.64 and 228.09 is: 341.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.59 : 514.64 = 228.09 : x
  2. Step 2: Convert to fraction form
    343.59/514.64 = 228.09/x
  3. Step 3: Cross multiply
    343.59x = 514.64 × 228.09
  4. Step 4: Simplify right side
    343.59x = 117,381.66
  5. Step 5: Solve for x
    x = 117,381.66/343.59
  6. Step 6: Final answer
    x = 341.64

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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.