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Finding the Fourth Proportional to 270.50, 405.43 and 154.90

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Solution

The fourth proportional to 270.50, 405.43 and 154.90 is: 232.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.50 : 405.43 = 154.90 : x
  2. Step 2: Convert to fraction form
    270.50/405.43 = 154.90/x
  3. Step 3: Cross multiply
    270.50x = 405.43 × 154.90
  4. Step 4: Simplify right side
    270.50x = 62,801.11
  5. Step 5: Solve for x
    x = 62,801.11/270.50
  6. Step 6: Final answer
    x = 232.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.