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Finding the Fourth Proportional to 153.14, 228.47 and 137.75

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Solution

The fourth proportional to 153.14, 228.47 and 137.75 is: 205.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.14 : 228.47 = 137.75 : x
  2. Step 2: Convert to fraction form
    153.14/228.47 = 137.75/x
  3. Step 3: Cross multiply
    153.14x = 228.47 × 137.75
  4. Step 4: Simplify right side
    153.14x = 31,469.91
  5. Step 5: Solve for x
    x = 31,469.91/153.14
  6. Step 6: Final answer
    x = 205.50

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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.