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Finding the Fourth Proportional to 587.12, 880.80 and 222.08

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Solution

The fourth proportional to 587.12, 880.80 and 222.08 is: 333.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.12 : 880.80 = 222.08 : x
  2. Step 2: Convert to fraction form
    587.12/880.80 = 222.08/x
  3. Step 3: Cross multiply
    587.12x = 880.80 × 222.08
  4. Step 4: Simplify right side
    587.12x = 195,608.06
  5. Step 5: Solve for x
    x = 195,608.06/587.12
  6. Step 6: Final answer
    x = 333.17

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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.