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Finding the Fourth Proportional to 642.10, 962.93 and 246.69

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Solution

The fourth proportional to 642.10, 962.93 and 246.69 is: 369.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.10 : 962.93 = 246.69 : x
  2. Step 2: Convert to fraction form
    642.10/962.93 = 246.69/x
  3. Step 3: Cross multiply
    642.10x = 962.93 × 246.69
  4. Step 4: Simplify right side
    642.10x = 237,545.20
  5. Step 5: Solve for x
    x = 237,545.20/642.10
  6. Step 6: Final answer
    x = 369.95

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Why These Related Problems?

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