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Finding the Fourth Proportional to 246.90, 345.90 and 246.90

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Solution

The fourth proportional to 246.90, 345.90 and 246.90 is: 345.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.90 : 345.90 = 246.90 : x
  2. Step 2: Convert to fraction form
    246.90/345.90 = 246.90/x
  3. Step 3: Cross multiply
    246.90x = 345.90 × 246.90
  4. Step 4: Simplify right side
    246.90x = 85,402.71
  5. Step 5: Solve for x
    x = 85,402.71/246.90
  6. Step 6: Final answer
    x = 345.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.