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Finding the Fourth Proportional to 199.85, 276.14 and 156.51

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Solution

The fourth proportional to 199.85, 276.14 and 156.51 is: 216.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.85 : 276.14 = 156.51 : x
  2. Step 2: Convert to fraction form
    199.85/276.14 = 156.51/x
  3. Step 3: Cross multiply
    199.85x = 276.14 × 156.51
  4. Step 4: Simplify right side
    199.85x = 43,219.06
  5. Step 5: Solve for x
    x = 43,219.06/199.85
  6. Step 6: Final answer
    x = 216.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.