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Finding the Fourth Proportional to 341.28, 470.99 and 258.24

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Solution

The fourth proportional to 341.28, 470.99 and 258.24 is: 356.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.28 : 470.99 = 258.24 : x
  2. Step 2: Convert to fraction form
    341.28/470.99 = 258.24/x
  3. Step 3: Cross multiply
    341.28x = 470.99 × 258.24
  4. Step 4: Simplify right side
    341.28x = 121,627.17
  5. Step 5: Solve for x
    x = 121,627.17/341.28
  6. Step 6: Final answer
    x = 356.39

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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.