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Finding the Fourth Proportional to 246.58, 369.95 and 138.45

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Solution

The fourth proportional to 246.58, 369.95 and 138.45 is: 207.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.58 : 369.95 = 138.45 : x
  2. Step 2: Convert to fraction form
    246.58/369.95 = 138.45/x
  3. Step 3: Cross multiply
    246.58x = 369.95 × 138.45
  4. Step 4: Simplify right side
    246.58x = 51,219.58
  5. Step 5: Solve for x
    x = 51,219.58/246.58
  6. Step 6: Final answer
    x = 207.72

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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.