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Finding the Fourth Proportional to 369.51, 553.77 and 174.60

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Solution

The fourth proportional to 369.51, 553.77 and 174.60 is: 261.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.51 : 553.77 = 174.60 : x
  2. Step 2: Convert to fraction form
    369.51/553.77 = 174.60/x
  3. Step 3: Cross multiply
    369.51x = 553.77 × 174.60
  4. Step 4: Simplify right side
    369.51x = 96,688.24
  5. Step 5: Solve for x
    x = 96,688.24/369.51
  6. Step 6: Final answer
    x = 261.67

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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.