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Finding the Fourth Proportional to 153.08, 228.41 and 137.75

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Solution

The fourth proportional to 153.08, 228.41 and 137.75 is: 205.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.08 : 228.41 = 137.75 : x
  2. Step 2: Convert to fraction form
    153.08/228.41 = 137.75/x
  3. Step 3: Cross multiply
    153.08x = 228.41 × 137.75
  4. Step 4: Simplify right side
    153.08x = 31,461.65
  5. Step 5: Solve for x
    x = 31,461.65/153.08
  6. Step 6: Final answer
    x = 205.53

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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.