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Finding the Fourth Proportional to 277.16, 415.08 and 161.32

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Solution

The fourth proportional to 277.16, 415.08 and 161.32 is: 241.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.16 : 415.08 = 161.32 : x
  2. Step 2: Convert to fraction form
    277.16/415.08 = 161.32/x
  3. Step 3: Cross multiply
    277.16x = 415.08 × 161.32
  4. Step 4: Simplify right side
    277.16x = 66,960.71
  5. Step 5: Solve for x
    x = 66,960.71/277.16
  6. Step 6: Final answer
    x = 241.60

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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.