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Finding the Fourth Proportional to 289.17, 397.71 and 230.85

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Solution

The fourth proportional to 289.17, 397.71 and 230.85 is: 317.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.17 : 397.71 = 230.85 : x
  2. Step 2: Convert to fraction form
    289.17/397.71 = 230.85/x
  3. Step 3: Cross multiply
    289.17x = 397.71 × 230.85
  4. Step 4: Simplify right side
    289.17x = 91,811.35
  5. Step 5: Solve for x
    x = 91,811.35/289.17
  6. Step 6: Final answer
    x = 317.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.