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Finding the Fourth Proportional to 152.80, 228.14 and 137.44

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Solution

The fourth proportional to 152.80, 228.14 and 137.44 is: 205.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.80 : 228.14 = 137.44 : x
  2. Step 2: Convert to fraction form
    152.80/228.14 = 137.44/x
  3. Step 3: Cross multiply
    152.80x = 228.14 × 137.44
  4. Step 4: Simplify right side
    152.80x = 31,355.67
  5. Step 5: Solve for x
    x = 31,355.67/152.80
  6. Step 6: Final answer
    x = 205.21

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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.