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Finding the Fourth Proportional to 319.46, 477.66 and 246.26

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Solution

The fourth proportional to 319.46, 477.66 and 246.26 is: 368.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.46 : 477.66 = 246.26 : x
  2. Step 2: Convert to fraction form
    319.46/477.66 = 246.26/x
  3. Step 3: Cross multiply
    319.46x = 477.66 × 246.26
  4. Step 4: Simplify right side
    319.46x = 117,626.16
  5. Step 5: Solve for x
    x = 117,626.16/319.46
  6. Step 6: Final answer
    x = 368.21

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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.