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Finding the Fourth Proportional to 156.40, 217.32 and 154.46

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Solution

The fourth proportional to 156.40, 217.32 and 154.46 is: 214.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.40 : 217.32 = 154.46 : x
  2. Step 2: Convert to fraction form
    156.40/217.32 = 154.46/x
  3. Step 3: Cross multiply
    156.40x = 217.32 × 154.46
  4. Step 4: Simplify right side
    156.40x = 33,567.25
  5. Step 5: Solve for x
    x = 33,567.25/156.40
  6. Step 6: Final answer
    x = 214.62

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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.