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Finding the Fourth Proportional to 289.17, 434.57 and 237.33

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Solution

The fourth proportional to 289.17, 434.57 and 237.33 is: 356.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.17 : 434.57 = 237.33 : x
  2. Step 2: Convert to fraction form
    289.17/434.57 = 237.33/x
  3. Step 3: Cross multiply
    289.17x = 434.57 × 237.33
  4. Step 4: Simplify right side
    289.17x = 103,135.31
  5. Step 5: Solve for x
    x = 103,135.31/289.17
  6. Step 6: Final answer
    x = 356.66

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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.