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Finding the Fourth Proportional to 363.76, 501.40 and 334.32

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Solution

The fourth proportional to 363.76, 501.40 and 334.32 is: 460.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.76 : 501.40 = 334.32 : x
  2. Step 2: Convert to fraction form
    363.76/501.40 = 334.32/x
  3. Step 3: Cross multiply
    363.76x = 501.40 × 334.32
  4. Step 4: Simplify right side
    363.76x = 167,628.05
  5. Step 5: Solve for x
    x = 167,628.05/363.76
  6. Step 6: Final answer
    x = 460.82

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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.