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Finding the Fourth Proportional to 246.74, 370.61 and 210.23

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Solution

The fourth proportional to 246.74, 370.61 and 210.23 is: 315.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.74 : 370.61 = 210.23 : x
  2. Step 2: Convert to fraction form
    246.74/370.61 = 210.23/x
  3. Step 3: Cross multiply
    246.74x = 370.61 × 210.23
  4. Step 4: Simplify right side
    246.74x = 77,910.44
  5. Step 5: Solve for x
    x = 77,910.44/246.74
  6. Step 6: Final answer
    x = 315.77

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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.