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Finding the Fourth Proportional to 156.18, 213.65 and 153.80

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Solution

The fourth proportional to 156.18, 213.65 and 153.80 is: 210.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.18 : 213.65 = 153.80 : x
  2. Step 2: Convert to fraction form
    156.18/213.65 = 153.80/x
  3. Step 3: Cross multiply
    156.18x = 213.65 × 153.80
  4. Step 4: Simplify right side
    156.18x = 32,859.37
  5. Step 5: Solve for x
    x = 32,859.37/156.18
  6. Step 6: Final answer
    x = 210.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.