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Finding the Fourth Proportional to 341.78, 472.08 and 253.43

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Solution

The fourth proportional to 341.78, 472.08 and 253.43 is: 350.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.78 : 472.08 = 253.43 : x
  2. Step 2: Convert to fraction form
    341.78/472.08 = 253.43/x
  3. Step 3: Cross multiply
    341.78x = 472.08 × 253.43
  4. Step 4: Simplify right side
    341.78x = 119,636.87
  5. Step 5: Solve for x
    x = 119,636.87/341.78
  6. Step 6: Final answer
    x = 350.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.