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Finding the Fourth Proportional to 435.96, 601.82 and 278.79

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Solution

The fourth proportional to 435.96, 601.82 and 278.79 is: 384.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.96 : 601.82 = 278.79 : x
  2. Step 2: Convert to fraction form
    435.96/601.82 = 278.79/x
  3. Step 3: Cross multiply
    435.96x = 601.82 × 278.79
  4. Step 4: Simplify right side
    435.96x = 167,780.00
  5. Step 5: Solve for x
    x = 167,780.00/435.96
  6. Step 6: Final answer
    x = 384.85

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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.