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Finding the Fourth Proportional to 153.56, 228.99 and 142.41

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Solution

The fourth proportional to 153.56, 228.99 and 142.41 is: 212.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.56 : 228.99 = 142.41 : x
  2. Step 2: Convert to fraction form
    153.56/228.99 = 142.41/x
  3. Step 3: Cross multiply
    153.56x = 228.99 × 142.41
  4. Step 4: Simplify right side
    153.56x = 32,610.57
  5. Step 5: Solve for x
    x = 32,610.57/153.56
  6. Step 6: Final answer
    x = 212.36

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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.