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Finding the Fourth Proportional to 296.36, 406.38 and 286.06

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Solution

The fourth proportional to 296.36, 406.38 and 286.06 is: 392.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.36 : 406.38 = 286.06 : x
  2. Step 2: Convert to fraction form
    296.36/406.38 = 286.06/x
  3. Step 3: Cross multiply
    296.36x = 406.38 × 286.06
  4. Step 4: Simplify right side
    296.36x = 116,247.63
  5. Step 5: Solve for x
    x = 116,247.63/296.36
  6. Step 6: Final answer
    x = 392.25

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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.