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Finding the Fourth Proportional to 289.16, 399.08 and 201.68

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Solution

The fourth proportional to 289.16, 399.08 and 201.68 is: 278.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.16 : 399.08 = 201.68 : x
  2. Step 2: Convert to fraction form
    289.16/399.08 = 201.68/x
  3. Step 3: Cross multiply
    289.16x = 399.08 × 201.68
  4. Step 4: Simplify right side
    289.16x = 80,486.45
  5. Step 5: Solve for x
    x = 80,486.45/289.16
  6. Step 6: Final answer
    x = 278.35

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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.