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Finding the Fourth Proportional to 153.54, 228.84 and 152.27

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Solution

The fourth proportional to 153.54, 228.84 and 152.27 is: 226.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.54 : 228.84 = 152.27 : x
  2. Step 2: Convert to fraction form
    153.54/228.84 = 152.27/x
  3. Step 3: Cross multiply
    153.54x = 228.84 × 152.27
  4. Step 4: Simplify right side
    153.54x = 34,844.61
  5. Step 5: Solve for x
    x = 34,844.61/153.54
  6. Step 6: Final answer
    x = 226.94

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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.