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Finding the Fourth Proportional to 586.19, 878.60 and 239.31

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Solution

The fourth proportional to 586.19, 878.60 and 239.31 is: 358.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.19 : 878.60 = 239.31 : x
  2. Step 2: Convert to fraction form
    586.19/878.60 = 239.31/x
  3. Step 3: Cross multiply
    586.19x = 878.60 × 239.31
  4. Step 4: Simplify right side
    586.19x = 210,256.57
  5. Step 5: Solve for x
    x = 210,256.57/586.19
  6. Step 6: Final answer
    x = 358.68

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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.