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Finding the Fourth Proportional to 200.46, 302.16 and 164.82

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Solution

The fourth proportional to 200.46, 302.16 and 164.82 is: 248.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.46 : 302.16 = 164.82 : x
  2. Step 2: Convert to fraction form
    200.46/302.16 = 164.82/x
  3. Step 3: Cross multiply
    200.46x = 302.16 × 164.82
  4. Step 4: Simplify right side
    200.46x = 49,802.01
  5. Step 5: Solve for x
    x = 49,802.01/200.46
  6. Step 6: Final answer
    x = 248.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.