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Finding the Fourth Proportional to 154.64, 233.06 and 137

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Solution

The fourth proportional to 154.64, 233.06 and 137 is: 206.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.64 : 233.06 = 137 : x
  2. Step 2: Convert to fraction form
    154.64/233.06 = 137/x
  3. Step 3: Cross multiply
    154.64x = 233.06 × 137
  4. Step 4: Simplify right side
    154.64x = 31,929.22
  5. Step 5: Solve for x
    x = 31,929.22/154.64
  6. Step 6: Final answer
    x = 206.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.