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Finding the Fourth Proportional to 289.66, 432.02 and 271.30

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Solution

The fourth proportional to 289.66, 432.02 and 271.30 is: 404.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.66 : 432.02 = 271.30 : x
  2. Step 2: Convert to fraction form
    289.66/432.02 = 271.30/x
  3. Step 3: Cross multiply
    289.66x = 432.02 × 271.30
  4. Step 4: Simplify right side
    289.66x = 117,207.03
  5. Step 5: Solve for x
    x = 117,207.03/289.66
  6. Step 6: Final answer
    x = 404.64

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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.