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Finding the Fourth Proportional to 115.64, 172.38 and 110.40

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Solution

The fourth proportional to 115.64, 172.38 and 110.40 is: 164.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.64 : 172.38 = 110.40 : x
  2. Step 2: Convert to fraction form
    115.64/172.38 = 110.40/x
  3. Step 3: Cross multiply
    115.64x = 172.38 × 110.40
  4. Step 4: Simplify right side
    115.64x = 19,030.75
  5. Step 5: Solve for x
    x = 19,030.75/115.64
  6. Step 6: Final answer
    x = 164.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.