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Finding the Fourth Proportional to 153.44, 228.70 and 144.56

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Solution

The fourth proportional to 153.44, 228.70 and 144.56 is: 215.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.44 : 228.70 = 144.56 : x
  2. Step 2: Convert to fraction form
    153.44/228.70 = 144.56/x
  3. Step 3: Cross multiply
    153.44x = 228.70 × 144.56
  4. Step 4: Simplify right side
    153.44x = 33,060.87
  5. Step 5: Solve for x
    x = 33,060.87/153.44
  6. Step 6: Final answer
    x = 215.46

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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.