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Finding the Fourth Proportional to 375.89, 518.36 and 282.65

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Solution

The fourth proportional to 375.89, 518.36 and 282.65 is: 389.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.89 : 518.36 = 282.65 : x
  2. Step 2: Convert to fraction form
    375.89/518.36 = 282.65/x
  3. Step 3: Cross multiply
    375.89x = 518.36 × 282.65
  4. Step 4: Simplify right side
    375.89x = 146,510.45
  5. Step 5: Solve for x
    x = 146,510.45/375.89
  6. Step 6: Final answer
    x = 389.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.