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Finding the Fourth Proportional to 246.95, 370.22 and 102.77

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Solution

The fourth proportional to 246.95, 370.22 and 102.77 is: 154.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.95 : 370.22 = 102.77 : x
  2. Step 2: Convert to fraction form
    246.95/370.22 = 102.77/x
  3. Step 3: Cross multiply
    246.95x = 370.22 × 102.77
  4. Step 4: Simplify right side
    246.95x = 38,045.14
  5. Step 5: Solve for x
    x = 38,045.14/246.95
  6. Step 6: Final answer
    x = 154.06

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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.