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Finding the Fourth Proportional to 335.67, 503.52 and 152.96

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Solution

The fourth proportional to 335.67, 503.52 and 152.96 is: 229.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.67 : 503.52 = 152.96 : x
  2. Step 2: Convert to fraction form
    335.67/503.52 = 152.96/x
  3. Step 3: Cross multiply
    335.67x = 503.52 × 152.96
  4. Step 4: Simplify right side
    335.67x = 77,015.90
  5. Step 5: Solve for x
    x = 77,015.90/335.67
  6. Step 6: Final answer
    x = 229.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.