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Finding the Fourth Proportional to 143, 214.58 and 67

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Solution

The fourth proportional to 143, 214.58 and 67 is: 100.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    143 : 214.58 = 67 : x
  2. Step 2: Convert to fraction form
    143/214.58 = 67/x
  3. Step 3: Cross multiply
    143x = 214.58 × 67
  4. Step 4: Simplify right side
    143x = 14,376.86
  5. Step 5: Solve for x
    x = 14,376.86/143
  6. Step 6: Final answer
    x = 100.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.