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Finding the Fourth Proportional to 193.07, 266.47 and 165.53

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Solution

The fourth proportional to 193.07, 266.47 and 165.53 is: 228.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.07 : 266.47 = 165.53 : x
  2. Step 2: Convert to fraction form
    193.07/266.47 = 165.53/x
  3. Step 3: Cross multiply
    193.07x = 266.47 × 165.53
  4. Step 4: Simplify right side
    193.07x = 44,109.03
  5. Step 5: Solve for x
    x = 44,109.03/193.07
  6. Step 6: Final answer
    x = 228.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.