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Finding the Fourth Proportional to 270.15, 405.50 and 236.40

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Solution

The fourth proportional to 270.15, 405.50 and 236.40 is: 354.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.15 : 405.50 = 236.40 : x
  2. Step 2: Convert to fraction form
    270.15/405.50 = 236.40/x
  3. Step 3: Cross multiply
    270.15x = 405.50 × 236.40
  4. Step 4: Simplify right side
    270.15x = 95,859.02
  5. Step 5: Solve for x
    x = 95,859.02/270.15
  6. Step 6: Final answer
    x = 354.84

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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.