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Finding the Fourth Proportional to 587.33, 880.38 and 216.90

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Solution

The fourth proportional to 587.33, 880.38 and 216.90 is: 325.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.33 : 880.38 = 216.90 : x
  2. Step 2: Convert to fraction form
    587.33/880.38 = 216.90/x
  3. Step 3: Cross multiply
    587.33x = 880.38 × 216.90
  4. Step 4: Simplify right side
    587.33x = 190,954.68
  5. Step 5: Solve for x
    x = 190,954.68/587.33
  6. Step 6: Final answer
    x = 325.12

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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.