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Finding the Fourth Proportional to 584.87, 877.12 and 238.22

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Solution

The fourth proportional to 584.87, 877.12 and 238.22 is: 357.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.87 : 877.12 = 238.22 : x
  2. Step 2: Convert to fraction form
    584.87/877.12 = 238.22/x
  3. Step 3: Cross multiply
    584.87x = 877.12 × 238.22
  4. Step 4: Simplify right side
    584.87x = 208,946.73
  5. Step 5: Solve for x
    x = 208,946.73/584.87
  6. Step 6: Final answer
    x = 357.25

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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.