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Finding the Fourth Proportional to 200, 298.64 and 159.50

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Solution

The fourth proportional to 200, 298.64 and 159.50 is: 238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200 : 298.64 = 159.50 : x
  2. Step 2: Convert to fraction form
    200/298.64 = 159.50/x
  3. Step 3: Cross multiply
    200x = 298.64 × 159.50
  4. Step 4: Simplify right side
    200x = 47,633.08
  5. Step 5: Solve for x
    x = 47,633.08/200
  6. Step 6: Final answer
    x = 238.17

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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.