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Finding the Fourth Proportional to 588.37, 881.93 and 280.08

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Solution

The fourth proportional to 588.37, 881.93 and 280.08 is: 419.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.37 : 881.93 = 280.08 : x
  2. Step 2: Convert to fraction form
    588.37/881.93 = 280.08/x
  3. Step 3: Cross multiply
    588.37x = 881.93 × 280.08
  4. Step 4: Simplify right side
    588.37x = 247,010.95
  5. Step 5: Solve for x
    x = 247,010.95/588.37
  6. Step 6: Final answer
    x = 419.82

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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.