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Finding the Fourth Proportional to 309.14, 463.61 and 146.72

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Solution

The fourth proportional to 309.14, 463.61 and 146.72 is: 220.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.14 : 463.61 = 146.72 : x
  2. Step 2: Convert to fraction form
    309.14/463.61 = 146.72/x
  3. Step 3: Cross multiply
    309.14x = 463.61 × 146.72
  4. Step 4: Simplify right side
    309.14x = 68,020.86
  5. Step 5: Solve for x
    x = 68,020.86/309.14
  6. Step 6: Final answer
    x = 220.03

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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.