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Finding the Fourth Proportional to 117.25, 176.89 and 114.01

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Solution

The fourth proportional to 117.25, 176.89 and 114.01 is: 172.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.25 : 176.89 = 114.01 : x
  2. Step 2: Convert to fraction form
    117.25/176.89 = 114.01/x
  3. Step 3: Cross multiply
    117.25x = 176.89 × 114.01
  4. Step 4: Simplify right side
    117.25x = 20,167.23
  5. Step 5: Solve for x
    x = 20,167.23/117.25
  6. Step 6: Final answer
    x = 172.00

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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.