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Finding the Fourth Proportional to 642.71, 964.16 and 296.18

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Solution

The fourth proportional to 642.71, 964.16 and 296.18 is: 444.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.71 : 964.16 = 296.18 : x
  2. Step 2: Convert to fraction form
    642.71/964.16 = 296.18/x
  3. Step 3: Cross multiply
    642.71x = 964.16 × 296.18
  4. Step 4: Simplify right side
    642.71x = 285,564.91
  5. Step 5: Solve for x
    x = 285,564.91/642.71
  6. Step 6: Final answer
    x = 444.31

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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.