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Finding the Fourth Proportional to 289.01, 431.22 and 271.50

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Solution

The fourth proportional to 289.01, 431.22 and 271.50 is: 405.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.01 : 431.22 = 271.50 : x
  2. Step 2: Convert to fraction form
    289.01/431.22 = 271.50/x
  3. Step 3: Cross multiply
    289.01x = 431.22 × 271.50
  4. Step 4: Simplify right side
    289.01x = 117,076.23
  5. Step 5: Solve for x
    x = 117,076.23/289.01
  6. Step 6: Final answer
    x = 405.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.