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Finding the Fourth Proportional to 270.24, 405.57 and 146.93

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Solution

The fourth proportional to 270.24, 405.57 and 146.93 is: 220.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.24 : 405.57 = 146.93 : x
  2. Step 2: Convert to fraction form
    270.24/405.57 = 146.93/x
  3. Step 3: Cross multiply
    270.24x = 405.57 × 146.93
  4. Step 4: Simplify right side
    270.24x = 59,588.37
  5. Step 5: Solve for x
    x = 59,588.37/270.24
  6. Step 6: Final answer
    x = 220.50

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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.