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Finding the Fourth Proportional to 429.42, 646.42 and 369.88

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Solution

The fourth proportional to 429.42, 646.42 and 369.88 is: 556.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.42 : 646.42 = 369.88 : x
  2. Step 2: Convert to fraction form
    429.42/646.42 = 369.88/x
  3. Step 3: Cross multiply
    429.42x = 646.42 × 369.88
  4. Step 4: Simplify right side
    429.42x = 239,097.83
  5. Step 5: Solve for x
    x = 239,097.83/429.42
  6. Step 6: Final answer
    x = 556.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.