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Finding the Fourth Proportional to 296.98, 447.69 and 277.16

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Solution

The fourth proportional to 296.98, 447.69 and 277.16 is: 417.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.98 : 447.69 = 277.16 : x
  2. Step 2: Convert to fraction form
    296.98/447.69 = 277.16/x
  3. Step 3: Cross multiply
    296.98x = 447.69 × 277.16
  4. Step 4: Simplify right side
    296.98x = 124,078.14
  5. Step 5: Solve for x
    x = 124,078.14/296.98
  6. Step 6: Final answer
    x = 417.81

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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.