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Finding the Fourth Proportional to 341.54, 470.28 and 282.32

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Solution

The fourth proportional to 341.54, 470.28 and 282.32 is: 388.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.54 : 470.28 = 282.32 : x
  2. Step 2: Convert to fraction form
    341.54/470.28 = 282.32/x
  3. Step 3: Cross multiply
    341.54x = 470.28 × 282.32
  4. Step 4: Simplify right side
    341.54x = 132,769.45
  5. Step 5: Solve for x
    x = 132,769.45/341.54
  6. Step 6: Final answer
    x = 388.74

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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.