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Finding the Fourth Proportional to 114.40, 172.52 and 101.60

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Solution

The fourth proportional to 114.40, 172.52 and 101.60 is: 153.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.40 : 172.52 = 101.60 : x
  2. Step 2: Convert to fraction form
    114.40/172.52 = 101.60/x
  3. Step 3: Cross multiply
    114.40x = 172.52 × 101.60
  4. Step 4: Simplify right side
    114.40x = 17,528.03
  5. Step 5: Solve for x
    x = 17,528.03/114.40
  6. Step 6: Final answer
    x = 153.22

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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.