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Finding the Fourth Proportional to 164.98, 246.29 and 143.38

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Solution

The fourth proportional to 164.98, 246.29 and 143.38 is: 214.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.98 : 246.29 = 143.38 : x
  2. Step 2: Convert to fraction form
    164.98/246.29 = 143.38/x
  3. Step 3: Cross multiply
    164.98x = 246.29 × 143.38
  4. Step 4: Simplify right side
    164.98x = 35,312.34
  5. Step 5: Solve for x
    x = 35,312.34/164.98
  6. Step 6: Final answer
    x = 214.04

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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.