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Finding the Fourth Proportional to 341.42, 512.22 and 248.07

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Solution

The fourth proportional to 341.42, 512.22 and 248.07 is: 372.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.42 : 512.22 = 248.07 : x
  2. Step 2: Convert to fraction form
    341.42/512.22 = 248.07/x
  3. Step 3: Cross multiply
    341.42x = 512.22 × 248.07
  4. Step 4: Simplify right side
    341.42x = 127,066.42
  5. Step 5: Solve for x
    x = 127,066.42/341.42
  6. Step 6: Final answer
    x = 372.17

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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.