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Finding the Fourth Proportional to 312.85, 468.95 and 139.60

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Solution

The fourth proportional to 312.85, 468.95 and 139.60 is: 209.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.85 : 468.95 = 139.60 : x
  2. Step 2: Convert to fraction form
    312.85/468.95 = 139.60/x
  3. Step 3: Cross multiply
    312.85x = 468.95 × 139.60
  4. Step 4: Simplify right side
    312.85x = 65,466.94
  5. Step 5: Solve for x
    x = 65,466.94/312.85
  6. Step 6: Final answer
    x = 209.26

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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.