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Finding the Fourth Proportional to 429.16, 642.94 and 246

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Solution

The fourth proportional to 429.16, 642.94 and 246 is: 368.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.16 : 642.94 = 246 : x
  2. Step 2: Convert to fraction form
    429.16/642.94 = 246/x
  3. Step 3: Cross multiply
    429.16x = 642.94 × 246
  4. Step 4: Simplify right side
    429.16x = 158,163.24
  5. Step 5: Solve for x
    x = 158,163.24/429.16
  6. Step 6: Final answer
    x = 368.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.