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Finding the Fourth Proportional to 154.93, 215.31 and 153.00

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Solution

The fourth proportional to 154.93, 215.31 and 153.00 is: 212.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.93 : 215.31 = 153.00 : x
  2. Step 2: Convert to fraction form
    154.93/215.31 = 153.00/x
  3. Step 3: Cross multiply
    154.93x = 215.31 × 153.00
  4. Step 4: Simplify right side
    154.93x = 32,940.59
  5. Step 5: Solve for x
    x = 32,940.59/154.93
  6. Step 6: Final answer
    x = 212.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.