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Finding the Fourth Proportional to 153.27, 228.56 and 146.94

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Solution

The fourth proportional to 153.27, 228.56 and 146.94 is: 219.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.27 : 228.56 = 146.94 : x
  2. Step 2: Convert to fraction form
    153.27/228.56 = 146.94/x
  3. Step 3: Cross multiply
    153.27x = 228.56 × 146.94
  4. Step 4: Simplify right side
    153.27x = 33,583.87
  5. Step 5: Solve for x
    x = 33,583.87/153.27
  6. Step 6: Final answer
    x = 219.12

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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.