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Finding the Fourth Proportional to 270.88, 405.63 and 149.01

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Solution

The fourth proportional to 270.88, 405.63 and 149.01 is: 223.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.88 : 405.63 = 149.01 : x
  2. Step 2: Convert to fraction form
    270.88/405.63 = 149.01/x
  3. Step 3: Cross multiply
    270.88x = 405.63 × 149.01
  4. Step 4: Simplify right side
    270.88x = 60,442.93
  5. Step 5: Solve for x
    x = 60,442.93/270.88
  6. Step 6: Final answer
    x = 223.13

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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.