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Finding the Fourth Proportional to 344.05, 514.92 and 288.70

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Solution

The fourth proportional to 344.05, 514.92 and 288.70 is: 432.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.05 : 514.92 = 288.70 : x
  2. Step 2: Convert to fraction form
    344.05/514.92 = 288.70/x
  3. Step 3: Cross multiply
    344.05x = 514.92 × 288.70
  4. Step 4: Simplify right side
    344.05x = 148,657.20
  5. Step 5: Solve for x
    x = 148,657.20/344.05
  6. Step 6: Final answer
    x = 432.08

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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.