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Finding the Fourth Proportional to 397.25, 546.88 and 341.77

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Solution

The fourth proportional to 397.25, 546.88 and 341.77 is: 470.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.25 : 546.88 = 341.77 : x
  2. Step 2: Convert to fraction form
    397.25/546.88 = 341.77/x
  3. Step 3: Cross multiply
    397.25x = 546.88 × 341.77
  4. Step 4: Simplify right side
    397.25x = 186,904.44
  5. Step 5: Solve for x
    x = 186,904.44/397.25
  6. Step 6: Final answer
    x = 470.50

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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.