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Finding the Fourth Proportional to 153.88, 212.04 and 122.80

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Solution

The fourth proportional to 153.88, 212.04 and 122.80 is: 169.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.88 : 212.04 = 122.80 : x
  2. Step 2: Convert to fraction form
    153.88/212.04 = 122.80/x
  3. Step 3: Cross multiply
    153.88x = 212.04 × 122.80
  4. Step 4: Simplify right side
    153.88x = 26,038.51
  5. Step 5: Solve for x
    x = 26,038.51/153.88
  6. Step 6: Final answer
    x = 169.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.