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Finding the Fourth Proportional to 340.78, 471.27 and 334.63

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Solution

The fourth proportional to 340.78, 471.27 and 334.63 is: 462.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.78 : 471.27 = 334.63 : x
  2. Step 2: Convert to fraction form
    340.78/471.27 = 334.63/x
  3. Step 3: Cross multiply
    340.78x = 471.27 × 334.63
  4. Step 4: Simplify right side
    340.78x = 157,701.08
  5. Step 5: Solve for x
    x = 157,701.08/340.78
  6. Step 6: Final answer
    x = 462.77

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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.