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Finding the Fourth Proportional to 435.18, 601.20 and 303.96

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Solution

The fourth proportional to 435.18, 601.20 and 303.96 is: 419.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.18 : 601.20 = 303.96 : x
  2. Step 2: Convert to fraction form
    435.18/601.20 = 303.96/x
  3. Step 3: Cross multiply
    435.18x = 601.20 × 303.96
  4. Step 4: Simplify right side
    435.18x = 182,740.75
  5. Step 5: Solve for x
    x = 182,740.75/435.18
  6. Step 6: Final answer
    x = 419.92

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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.