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Finding the Fourth Proportional to 208.19, 310.98 and 154.19

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Solution

The fourth proportional to 208.19, 310.98 and 154.19 is: 230.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.19 : 310.98 = 154.19 : x
  2. Step 2: Convert to fraction form
    208.19/310.98 = 154.19/x
  3. Step 3: Cross multiply
    208.19x = 310.98 × 154.19
  4. Step 4: Simplify right side
    208.19x = 47,948.45
  5. Step 5: Solve for x
    x = 47,948.45/208.19
  6. Step 6: Final answer
    x = 230.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.