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Finding the Fourth Proportional to 309.09, 463.86 and 146.77

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Solution

The fourth proportional to 309.09, 463.86 and 146.77 is: 220.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.09 : 463.86 = 146.77 : x
  2. Step 2: Convert to fraction form
    309.09/463.86 = 146.77/x
  3. Step 3: Cross multiply
    309.09x = 463.86 × 146.77
  4. Step 4: Simplify right side
    309.09x = 68,081.52
  5. Step 5: Solve for x
    x = 68,081.52/309.09
  6. Step 6: Final answer
    x = 220.27

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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.