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Finding the Fourth Proportional to 246.21, 370.75 and 178.21

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Solution

The fourth proportional to 246.21, 370.75 and 178.21 is: 268.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.21 : 370.75 = 178.21 : x
  2. Step 2: Convert to fraction form
    246.21/370.75 = 178.21/x
  3. Step 3: Cross multiply
    246.21x = 370.75 × 178.21
  4. Step 4: Simplify right side
    246.21x = 66,071.36
  5. Step 5: Solve for x
    x = 66,071.36/246.21
  6. Step 6: Final answer
    x = 268.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.