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Finding the Fourth Proportional to 157.21, 234.70 and 144.25

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Solution

The fourth proportional to 157.21, 234.70 and 144.25 is: 215.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.21 : 234.70 = 144.25 : x
  2. Step 2: Convert to fraction form
    157.21/234.70 = 144.25/x
  3. Step 3: Cross multiply
    157.21x = 234.70 × 144.25
  4. Step 4: Simplify right side
    157.21x = 33,854.53
  5. Step 5: Solve for x
    x = 33,854.53/157.21
  6. Step 6: Final answer
    x = 215.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.