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Finding the Fourth Proportional to 375.63, 566.81 and 360.65

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Solution

The fourth proportional to 375.63, 566.81 and 360.65 is: 544.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.63 : 566.81 = 360.65 : x
  2. Step 2: Convert to fraction form
    375.63/566.81 = 360.65/x
  3. Step 3: Cross multiply
    375.63x = 566.81 × 360.65
  4. Step 4: Simplify right side
    375.63x = 204,420.03
  5. Step 5: Solve for x
    x = 204,420.03/375.63
  6. Step 6: Final answer
    x = 544.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.