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Finding the Fourth Proportional to 375.23, 562.93 and 189.67

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Solution

The fourth proportional to 375.23, 562.93 and 189.67 is: 284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.23 : 562.93 = 189.67 : x
  2. Step 2: Convert to fraction form
    375.23/562.93 = 189.67/x
  3. Step 3: Cross multiply
    375.23x = 562.93 × 189.67
  4. Step 4: Simplify right side
    375.23x = 106,770.93
  5. Step 5: Solve for x
    x = 106,770.93/375.23
  6. Step 6: Final answer
    x = 284.55

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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.