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Finding the Fourth Proportional to 114.55, 172.51 and 103.84

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Solution

The fourth proportional to 114.55, 172.51 and 103.84 is: 156.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.55 : 172.51 = 103.84 : x
  2. Step 2: Convert to fraction form
    114.55/172.51 = 103.84/x
  3. Step 3: Cross multiply
    114.55x = 172.51 × 103.84
  4. Step 4: Simplify right side
    114.55x = 17,913.44
  5. Step 5: Solve for x
    x = 17,913.44/114.55
  6. Step 6: Final answer
    x = 156.38

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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.