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Finding the Fourth Proportional to 312.24, 430.83 and 179.43

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Solution

The fourth proportional to 312.24, 430.83 and 179.43 is: 247.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.24 : 430.83 = 179.43 : x
  2. Step 2: Convert to fraction form
    312.24/430.83 = 179.43/x
  3. Step 3: Cross multiply
    312.24x = 430.83 × 179.43
  4. Step 4: Simplify right side
    312.24x = 77,303.83
  5. Step 5: Solve for x
    x = 77,303.83/312.24
  6. Step 6: Final answer
    x = 247.58

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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.