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Finding the Fourth Proportional to 289.86, 435.03 and 143.82

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Solution

The fourth proportional to 289.86, 435.03 and 143.82 is: 215.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.86 : 435.03 = 143.82 : x
  2. Step 2: Convert to fraction form
    289.86/435.03 = 143.82/x
  3. Step 3: Cross multiply
    289.86x = 435.03 × 143.82
  4. Step 4: Simplify right side
    289.86x = 62,566.01
  5. Step 5: Solve for x
    x = 62,566.01/289.86
  6. Step 6: Final answer
    x = 215.85

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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.