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Finding the Fourth Proportional to 401.23, 552.36 and 345.67

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Solution

The fourth proportional to 401.23, 552.36 and 345.67 is: 475.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.23 : 552.36 = 345.67 : x
  2. Step 2: Convert to fraction form
    401.23/552.36 = 345.67/x
  3. Step 3: Cross multiply
    401.23x = 552.36 × 345.67
  4. Step 4: Simplify right side
    401.23x = 190,934.28
  5. Step 5: Solve for x
    x = 190,934.28/401.23
  6. Step 6: Final answer
    x = 475.87

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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.