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Finding the Fourth Proportional to 289.17, 432.09 and 197.10

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Solution

The fourth proportional to 289.17, 432.09 and 197.10 is: 294.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.17 : 432.09 = 197.10 : x
  2. Step 2: Convert to fraction form
    289.17/432.09 = 197.10/x
  3. Step 3: Cross multiply
    289.17x = 432.09 × 197.10
  4. Step 4: Simplify right side
    289.17x = 85,164.94
  5. Step 5: Solve for x
    x = 85,164.94/289.17
  6. Step 6: Final answer
    x = 294.52

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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.