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Finding the Fourth Proportional to 341.64, 471.06 and 275.94

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Solution

The fourth proportional to 341.64, 471.06 and 275.94 is: 380.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.64 : 471.06 = 275.94 : x
  2. Step 2: Convert to fraction form
    341.64/471.06 = 275.94/x
  3. Step 3: Cross multiply
    341.64x = 471.06 × 275.94
  4. Step 4: Simplify right side
    341.64x = 129,984.30
  5. Step 5: Solve for x
    x = 129,984.30/341.64
  6. Step 6: Final answer
    x = 380.47

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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.