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Finding the Fourth Proportional to 375.75, 566.21 and 339.22

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Solution

The fourth proportional to 375.75, 566.21 and 339.22 is: 511.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.75 : 566.21 = 339.22 : x
  2. Step 2: Convert to fraction form
    375.75/566.21 = 339.22/x
  3. Step 3: Cross multiply
    375.75x = 566.21 × 339.22
  4. Step 4: Simplify right side
    375.75x = 192,069.76
  5. Step 5: Solve for x
    x = 192,069.76/375.75
  6. Step 6: Final answer
    x = 511.16

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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.