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Finding the Fourth Proportional to 435.67, 601.30 and 261.05

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Solution

The fourth proportional to 435.67, 601.30 and 261.05 is: 360.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.67 : 601.30 = 261.05 : x
  2. Step 2: Convert to fraction form
    435.67/601.30 = 261.05/x
  3. Step 3: Cross multiply
    435.67x = 601.30 × 261.05
  4. Step 4: Simplify right side
    435.67x = 156,969.37
  5. Step 5: Solve for x
    x = 156,969.37/435.67
  6. Step 6: Final answer
    x = 360.29

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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.