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Finding the Fourth Proportional to 289.32, 431.08 and 271.08

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Solution

The fourth proportional to 289.32, 431.08 and 271.08 is: 403.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.32 : 431.08 = 271.08 : x
  2. Step 2: Convert to fraction form
    289.32/431.08 = 271.08/x
  3. Step 3: Cross multiply
    289.32x = 431.08 × 271.08
  4. Step 4: Simplify right side
    289.32x = 116,857.17
  5. Step 5: Solve for x
    x = 116,857.17/289.32
  6. Step 6: Final answer
    x = 403.90

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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.