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Finding the Fourth Proportional to 343.24, 512.58 and 278.32

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Solution

The fourth proportional to 343.24, 512.58 and 278.32 is: 415.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.24 : 512.58 = 278.32 : x
  2. Step 2: Convert to fraction form
    343.24/512.58 = 278.32/x
  3. Step 3: Cross multiply
    343.24x = 512.58 × 278.32
  4. Step 4: Simplify right side
    343.24x = 142,661.27
  5. Step 5: Solve for x
    x = 142,661.27/343.24
  6. Step 6: Final answer
    x = 415.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.