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Finding the Fourth Proportional to 296.39, 407.24 and 277.43

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Solution

The fourth proportional to 296.39, 407.24 and 277.43 is: 381.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.39 : 407.24 = 277.43 : x
  2. Step 2: Convert to fraction form
    296.39/407.24 = 277.43/x
  3. Step 3: Cross multiply
    296.39x = 407.24 × 277.43
  4. Step 4: Simplify right side
    296.39x = 112,980.59
  5. Step 5: Solve for x
    x = 112,980.59/296.39
  6. Step 6: Final answer
    x = 381.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.