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Finding the Fourth Proportional to 360.79, 543.41 and 343.51

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Solution

The fourth proportional to 360.79, 543.41 and 343.51 is: 517.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.79 : 543.41 = 343.51 : x
  2. Step 2: Convert to fraction form
    360.79/543.41 = 343.51/x
  3. Step 3: Cross multiply
    360.79x = 543.41 × 343.51
  4. Step 4: Simplify right side
    360.79x = 186,666.77
  5. Step 5: Solve for x
    x = 186,666.77/360.79
  6. Step 6: Final answer
    x = 517.38

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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.