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Finding the Fourth Proportional to 153.20, 228.70 and 137

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Solution

The fourth proportional to 153.20, 228.70 and 137 is: 204.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.20 : 228.70 = 137 : x
  2. Step 2: Convert to fraction form
    153.20/228.70 = 137/x
  3. Step 3: Cross multiply
    153.20x = 228.70 × 137
  4. Step 4: Simplify right side
    153.20x = 31,331.90
  5. Step 5: Solve for x
    x = 31,331.90/153.20
  6. Step 6: Final answer
    x = 204.52

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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.