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Finding the Fourth Proportional to 114.40, 172.51 and 101.80

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Solution

The fourth proportional to 114.40, 172.51 and 101.80 is: 153.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.40 : 172.51 = 101.80 : x
  2. Step 2: Convert to fraction form
    114.40/172.51 = 101.80/x
  3. Step 3: Cross multiply
    114.40x = 172.51 × 101.80
  4. Step 4: Simplify right side
    114.40x = 17,561.52
  5. Step 5: Solve for x
    x = 17,561.52/114.40
  6. Step 6: Final answer
    x = 153.51

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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.