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Finding the Fourth Proportional to 208.40, 312.74 and 154.45

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Solution

The fourth proportional to 208.40, 312.74 and 154.45 is: 231.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.40 : 312.74 = 154.45 : x
  2. Step 2: Convert to fraction form
    208.40/312.74 = 154.45/x
  3. Step 3: Cross multiply
    208.40x = 312.74 × 154.45
  4. Step 4: Simplify right side
    208.40x = 48,300.36
  5. Step 5: Solve for x
    x = 48,300.36/208.40
  6. Step 6: Final answer
    x = 231.77

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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.