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Finding the Fourth Proportional to 856.01, 1,283.78 and 239.67

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Solution

The fourth proportional to 856.01, 1,283.78 and 239.67 is: 359.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.01 : 1,283.78 = 239.67 : x
  2. Step 2: Convert to fraction form
    856.01/1,283.78 = 239.67/x
  3. Step 3: Cross multiply
    856.01x = 1,283.78 × 239.67
  4. Step 4: Simplify right side
    856.01x = 307,683.55
  5. Step 5: Solve for x
    x = 307,683.55/856.01
  6. Step 6: Final answer
    x = 359.44

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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.