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Finding the Fourth Proportional to 402.36, 552.58 and 336.75

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Solution

The fourth proportional to 402.36, 552.58 and 336.75 is: 462.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.36 : 552.58 = 336.75 : x
  2. Step 2: Convert to fraction form
    402.36/552.58 = 336.75/x
  3. Step 3: Cross multiply
    402.36x = 552.58 × 336.75
  4. Step 4: Simplify right side
    402.36x = 186,076.87
  5. Step 5: Solve for x
    x = 186,076.87/402.36
  6. Step 6: Final answer
    x = 462.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.