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Finding the Fourth Proportional to 588.05, 882.08 and 155.21

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Solution

The fourth proportional to 588.05, 882.08 and 155.21 is: 232.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.05 : 882.08 = 155.21 : x
  2. Step 2: Convert to fraction form
    588.05/882.08 = 155.21/x
  3. Step 3: Cross multiply
    588.05x = 882.08 × 155.21
  4. Step 4: Simplify right side
    588.05x = 136,902.45
  5. Step 5: Solve for x
    x = 136,902.45/588.05
  6. Step 6: Final answer
    x = 232.81

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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.