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Finding the Fourth Proportional to 341.64, 471 and 257.70

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Solution

The fourth proportional to 341.64, 471 and 257.70 is: 355.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.64 : 471 = 257.70 : x
  2. Step 2: Convert to fraction form
    341.64/471 = 257.70/x
  3. Step 3: Cross multiply
    341.64x = 471 × 257.70
  4. Step 4: Simplify right side
    341.64x = 121,376.70
  5. Step 5: Solve for x
    x = 121,376.70/341.64
  6. Step 6: Final answer
    x = 355.28

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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.