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Finding the Fourth Proportional to 156.98, 218.05 and 154.50

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Solution

The fourth proportional to 156.98, 218.05 and 154.50 is: 214.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.98 : 218.05 = 154.50 : x
  2. Step 2: Convert to fraction form
    156.98/218.05 = 154.50/x
  3. Step 3: Cross multiply
    156.98x = 218.05 × 154.50
  4. Step 4: Simplify right side
    156.98x = 33,688.73
  5. Step 5: Solve for x
    x = 33,688.73/156.98
  6. Step 6: Final answer
    x = 214.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.