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Finding the Fourth Proportional to 296.94, 447.06 and 257.25

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Solution

The fourth proportional to 296.94, 447.06 and 257.25 is: 387.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.94 : 447.06 = 257.25 : x
  2. Step 2: Convert to fraction form
    296.94/447.06 = 257.25/x
  3. Step 3: Cross multiply
    296.94x = 447.06 × 257.25
  4. Step 4: Simplify right side
    296.94x = 115,006.19
  5. Step 5: Solve for x
    x = 115,006.19/296.94
  6. Step 6: Final answer
    x = 387.30

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Why These Related Problems?

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