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Finding the Fourth Proportional to 156.84, 213.64 and 153.80

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Solution

The fourth proportional to 156.84, 213.64 and 153.80 is: 209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.84 : 213.64 = 153.80 : x
  2. Step 2: Convert to fraction form
    156.84/213.64 = 153.80/x
  3. Step 3: Cross multiply
    156.84x = 213.64 × 153.80
  4. Step 4: Simplify right side
    156.84x = 32,857.18
  5. Step 5: Solve for x
    x = 32,857.18/156.84
  6. Step 6: Final answer
    x = 209.50

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.