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Finding the Fourth Proportional to 296.56, 406.99 and 268.87

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Solution

The fourth proportional to 296.56, 406.99 and 268.87 is: 368.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.56 : 406.99 = 268.87 : x
  2. Step 2: Convert to fraction form
    296.56/406.99 = 268.87/x
  3. Step 3: Cross multiply
    296.56x = 406.99 × 268.87
  4. Step 4: Simplify right side
    296.56x = 109,427.40
  5. Step 5: Solve for x
    x = 109,427.40/296.56
  6. Step 6: Final answer
    x = 368.99

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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.