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Finding the Fourth Proportional to 270, 407.16 and 234.36

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Solution

The fourth proportional to 270, 407.16 and 234.36 is: 353.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    270 : 407.16 = 234.36 : x
  2. Step 2: Convert to fraction form
    270/407.16 = 234.36/x
  3. Step 3: Cross multiply
    270x = 407.16 × 234.36
  4. Step 4: Simplify right side
    270x = 95,422.02
  5. Step 5: Solve for x
    x = 95,422.02/270
  6. Step 6: Final answer
    x = 353.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.