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Finding the Fourth Proportional to 155, 230.86 and 147.30

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Solution

The fourth proportional to 155, 230.86 and 147.30 is: 219.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    155 : 230.86 = 147.30 : x
  2. Step 2: Convert to fraction form
    155/230.86 = 147.30/x
  3. Step 3: Cross multiply
    155x = 230.86 × 147.30
  4. Step 4: Simplify right side
    155x = 34,005.68
  5. Step 5: Solve for x
    x = 34,005.68/155
  6. Step 6: Final answer
    x = 219.39

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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.