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Finding the Fourth Proportional to 114.56, 172.48 and 90.64

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Solution

The fourth proportional to 114.56, 172.48 and 90.64 is: 136.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.56 : 172.48 = 90.64 : x
  2. Step 2: Convert to fraction form
    114.56/172.48 = 90.64/x
  3. Step 3: Cross multiply
    114.56x = 172.48 × 90.64
  4. Step 4: Simplify right side
    114.56x = 15,633.59
  5. Step 5: Solve for x
    x = 15,633.59/114.56
  6. Step 6: Final answer
    x = 136.47

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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.