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Finding the Fourth Proportional to 289.17, 434.03 and 207.63

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Solution

The fourth proportional to 289.17, 434.03 and 207.63 is: 311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.17 : 434.03 = 207.63 : x
  2. Step 2: Convert to fraction form
    289.17/434.03 = 207.63/x
  3. Step 3: Cross multiply
    289.17x = 434.03 × 207.63
  4. Step 4: Simplify right side
    289.17x = 90,116.61
  5. Step 5: Solve for x
    x = 90,116.61/289.17
  6. Step 6: Final answer
    x = 311.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.