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Finding the Fourth Proportional to 155.89, 235.06 and 138.07

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Solution

The fourth proportional to 155.89, 235.06 and 138.07 is: 208.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.89 : 235.06 = 138.07 : x
  2. Step 2: Convert to fraction form
    155.89/235.06 = 138.07/x
  3. Step 3: Cross multiply
    155.89x = 235.06 × 138.07
  4. Step 4: Simplify right side
    155.89x = 32,454.73
  5. Step 5: Solve for x
    x = 32,454.73/155.89
  6. Step 6: Final answer
    x = 208.19

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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.