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Finding the Fourth Proportional to 303.72, 454.90 and 141.06

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Solution

The fourth proportional to 303.72, 454.90 and 141.06 is: 211.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.72 : 454.90 = 141.06 : x
  2. Step 2: Convert to fraction form
    303.72/454.90 = 141.06/x
  3. Step 3: Cross multiply
    303.72x = 454.90 × 141.06
  4. Step 4: Simplify right side
    303.72x = 64,168.19
  5. Step 5: Solve for x
    x = 64,168.19/303.72
  6. Step 6: Final answer
    x = 211.27

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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.