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Finding the Fourth Proportional to 856.15, 1,283.96 and 239.72

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Solution

The fourth proportional to 856.15, 1,283.96 and 239.72 is: 359.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.15 : 1,283.96 = 239.72 : x
  2. Step 2: Convert to fraction form
    856.15/1,283.96 = 239.72/x
  3. Step 3: Cross multiply
    856.15x = 1,283.96 × 239.72
  4. Step 4: Simplify right side
    856.15x = 307,785.07
  5. Step 5: Solve for x
    x = 307,785.07/856.15
  6. Step 6: Final answer
    x = 359.50

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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.