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Finding the Fourth Proportional to 855.48, 1,283.16 and 239.16

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Solution

The fourth proportional to 855.48, 1,283.16 and 239.16 is: 358.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.48 : 1,283.16 = 239.16 : x
  2. Step 2: Convert to fraction form
    855.48/1,283.16 = 239.16/x
  3. Step 3: Cross multiply
    855.48x = 1,283.16 × 239.16
  4. Step 4: Simplify right side
    855.48x = 306,880.55
  5. Step 5: Solve for x
    x = 306,880.55/855.48
  6. Step 6: Final answer
    x = 358.72

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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.