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Finding the Fourth Proportional to 312.21, 430.61 and 238.77

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Solution

The fourth proportional to 312.21, 430.61 and 238.77 is: 329.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.21 : 430.61 = 238.77 : x
  2. Step 2: Convert to fraction form
    312.21/430.61 = 238.77/x
  3. Step 3: Cross multiply
    312.21x = 430.61 × 238.77
  4. Step 4: Simplify right side
    312.21x = 102,816.75
  5. Step 5: Solve for x
    x = 102,816.75/312.21
  6. Step 6: Final answer
    x = 329.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.