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Finding the Fourth Proportional to 351.98, 528.14 and 146.61

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Solution

The fourth proportional to 351.98, 528.14 and 146.61 is: 219.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.98 : 528.14 = 146.61 : x
  2. Step 2: Convert to fraction form
    351.98/528.14 = 146.61/x
  3. Step 3: Cross multiply
    351.98x = 528.14 × 146.61
  4. Step 4: Simplify right side
    351.98x = 77,429.87
  5. Step 5: Solve for x
    x = 77,429.87/351.98
  6. Step 6: Final answer
    x = 219.99

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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.