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Finding the Fourth Proportional to 341.04, 471.02 and 256.88

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Solution

The fourth proportional to 341.04, 471.02 and 256.88 is: 354.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.04 : 471.02 = 256.88 : x
  2. Step 2: Convert to fraction form
    341.04/471.02 = 256.88/x
  3. Step 3: Cross multiply
    341.04x = 471.02 × 256.88
  4. Step 4: Simplify right side
    341.04x = 120,991.98
  5. Step 5: Solve for x
    x = 120,991.98/341.04
  6. Step 6: Final answer
    x = 354.77

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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.