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Finding the Fourth Proportional to 200.89, 276.95 and 156.50

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Solution

The fourth proportional to 200.89, 276.95 and 156.50 is: 215.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.89 : 276.95 = 156.50 : x
  2. Step 2: Convert to fraction form
    200.89/276.95 = 156.50/x
  3. Step 3: Cross multiply
    200.89x = 276.95 × 156.50
  4. Step 4: Simplify right side
    200.89x = 43,342.72
  5. Step 5: Solve for x
    x = 43,342.72/200.89
  6. Step 6: Final answer
    x = 215.75

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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.