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Finding the Fourth Proportional to 202.34, 303.32 and 74.06

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Solution

The fourth proportional to 202.34, 303.32 and 74.06 is: 111.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.34 : 303.32 = 74.06 : x
  2. Step 2: Convert to fraction form
    202.34/303.32 = 74.06/x
  3. Step 3: Cross multiply
    202.34x = 303.32 × 74.06
  4. Step 4: Simplify right side
    202.34x = 22,463.88
  5. Step 5: Solve for x
    x = 22,463.88/202.34
  6. Step 6: Final answer
    x = 111.02

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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.