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Finding the Fourth Proportional to 270.75, 373.64 and 154.32

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Solution

The fourth proportional to 270.75, 373.64 and 154.32 is: 212.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.75 : 373.64 = 154.32 : x
  2. Step 2: Convert to fraction form
    270.75/373.64 = 154.32/x
  3. Step 3: Cross multiply
    270.75x = 373.64 × 154.32
  4. Step 4: Simplify right side
    270.75x = 57,660.12
  5. Step 5: Solve for x
    x = 57,660.12/270.75
  6. Step 6: Final answer
    x = 212.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.