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Finding the Fourth Proportional to 155.98, 232.84 and 143.14

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Solution

The fourth proportional to 155.98, 232.84 and 143.14 is: 213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.98 : 232.84 = 143.14 : x
  2. Step 2: Convert to fraction form
    155.98/232.84 = 143.14/x
  3. Step 3: Cross multiply
    155.98x = 232.84 × 143.14
  4. Step 4: Simplify right side
    155.98x = 33,328.00
  5. Step 5: Solve for x
    x = 33,328.00/155.98
  6. Step 6: Final answer
    x = 213.67

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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.