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Finding the Fourth Proportional to 435.56, 600.82 and 278.14

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Solution

The fourth proportional to 435.56, 600.82 and 278.14 is: 383.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.56 : 600.82 = 278.14 : x
  2. Step 2: Convert to fraction form
    435.56/600.82 = 278.14/x
  3. Step 3: Cross multiply
    435.56x = 600.82 × 278.14
  4. Step 4: Simplify right side
    435.56x = 167,112.07
  5. Step 5: Solve for x
    x = 167,112.07/435.56
  6. Step 6: Final answer
    x = 383.67

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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.