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Finding the Fourth Proportional to 296.16, 409.12 and 208.64

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Solution

The fourth proportional to 296.16, 409.12 and 208.64 is: 288.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.16 : 409.12 = 208.64 : x
  2. Step 2: Convert to fraction form
    296.16/409.12 = 208.64/x
  3. Step 3: Cross multiply
    296.16x = 409.12 × 208.64
  4. Step 4: Simplify right side
    296.16x = 85,358.80
  5. Step 5: Solve for x
    x = 85,358.80/296.16
  6. Step 6: Final answer
    x = 288.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.