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Finding the Fourth Proportional to 270.34, 407.32 and 244.69

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Solution

The fourth proportional to 270.34, 407.32 and 244.69 is: 368.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.34 : 407.32 = 244.69 : x
  2. Step 2: Convert to fraction form
    270.34/407.32 = 244.69/x
  3. Step 3: Cross multiply
    270.34x = 407.32 × 244.69
  4. Step 4: Simplify right side
    270.34x = 99,667.13
  5. Step 5: Solve for x
    x = 99,667.13/270.34
  6. Step 6: Final answer
    x = 368.67

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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.