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Finding the Fourth Proportional to 289.78, 399.41 and 186.10

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Solution

The fourth proportional to 289.78, 399.41 and 186.10 is: 256.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.78 : 399.41 = 186.10 : x
  2. Step 2: Convert to fraction form
    289.78/399.41 = 186.10/x
  3. Step 3: Cross multiply
    289.78x = 399.41 × 186.10
  4. Step 4: Simplify right side
    289.78x = 74,330.20
  5. Step 5: Solve for x
    x = 74,330.20/289.78
  6. Step 6: Final answer
    x = 256.51

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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.