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Finding the Fourth Proportional to 312.41, 468.59 and 139.07

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Solution

The fourth proportional to 312.41, 468.59 and 139.07 is: 208.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.41 : 468.59 = 139.07 : x
  2. Step 2: Convert to fraction form
    312.41/468.59 = 139.07/x
  3. Step 3: Cross multiply
    312.41x = 468.59 × 139.07
  4. Step 4: Simplify right side
    312.41x = 65,164.65
  5. Step 5: Solve for x
    x = 65,164.65/312.41
  6. Step 6: Final answer
    x = 208.59

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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.