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Finding the Fourth Proportional to 859.34, 1,288.94 and 243.06

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Solution

The fourth proportional to 859.34, 1,288.94 and 243.06 is: 364.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.34 : 1,288.94 = 243.06 : x
  2. Step 2: Convert to fraction form
    859.34/1,288.94 = 243.06/x
  3. Step 3: Cross multiply
    859.34x = 1,288.94 × 243.06
  4. Step 4: Simplify right side
    859.34x = 313,289.76
  5. Step 5: Solve for x
    x = 313,289.76/859.34
  6. Step 6: Final answer
    x = 364.57

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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.