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Finding the Fourth Proportional to 429.78, 593.67 and 356.47

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Solution

The fourth proportional to 429.78, 593.67 and 356.47 is: 492.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.78 : 593.67 = 356.47 : x
  2. Step 2: Convert to fraction form
    429.78/593.67 = 356.47/x
  3. Step 3: Cross multiply
    429.78x = 593.67 × 356.47
  4. Step 4: Simplify right side
    429.78x = 211,625.54
  5. Step 5: Solve for x
    x = 211,625.54/429.78
  6. Step 6: Final answer
    x = 492.40

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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.