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Finding the Fourth Proportional to 444.19, 613.10 and 296.98

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Solution

The fourth proportional to 444.19, 613.10 and 296.98 is: 409.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.19 : 613.10 = 296.98 : x
  2. Step 2: Convert to fraction form
    444.19/613.10 = 296.98/x
  3. Step 3: Cross multiply
    444.19x = 613.10 × 296.98
  4. Step 4: Simplify right side
    444.19x = 182,078.44
  5. Step 5: Solve for x
    x = 182,078.44/444.19
  6. Step 6: Final answer
    x = 409.91

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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.