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Finding the Fourth Proportional to 342.36, 512.46 and 274.02

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Solution

The fourth proportional to 342.36, 512.46 and 274.02 is: 410.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.36 : 512.46 = 274.02 : x
  2. Step 2: Convert to fraction form
    342.36/512.46 = 274.02/x
  3. Step 3: Cross multiply
    342.36x = 512.46 × 274.02
  4. Step 4: Simplify right side
    342.36x = 140,424.29
  5. Step 5: Solve for x
    x = 140,424.29/342.36
  6. Step 6: Final answer
    x = 410.17

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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.