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Finding the Fourth Proportional to 333.38, 500.14 and 128.01

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Solution

The fourth proportional to 333.38, 500.14 and 128.01 is: 192.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.38 : 500.14 = 128.01 : x
  2. Step 2: Convert to fraction form
    333.38/500.14 = 128.01/x
  3. Step 3: Cross multiply
    333.38x = 500.14 × 128.01
  4. Step 4: Simplify right side
    333.38x = 64,020.42
  5. Step 5: Solve for x
    x = 64,020.42/333.38
  6. Step 6: Final answer
    x = 192.03

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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.