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Finding the Fourth Proportional to 375.12, 562.64 and 180.06

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Solution

The fourth proportional to 375.12, 562.64 and 180.06 is: 270.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.12 : 562.64 = 180.06 : x
  2. Step 2: Convert to fraction form
    375.12/562.64 = 180.06/x
  3. Step 3: Cross multiply
    375.12x = 562.64 × 180.06
  4. Step 4: Simplify right side
    375.12x = 101,308.96
  5. Step 5: Solve for x
    x = 101,308.96/375.12
  6. Step 6: Final answer
    x = 270.07

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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.