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Finding the Fourth Proportional to 114.67, 172.84 and 102.93

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Solution

The fourth proportional to 114.67, 172.84 and 102.93 is: 155.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.67 : 172.84 = 102.93 : x
  2. Step 2: Convert to fraction form
    114.67/172.84 = 102.93/x
  3. Step 3: Cross multiply
    114.67x = 172.84 × 102.93
  4. Step 4: Simplify right side
    114.67x = 17,790.42
  5. Step 5: Solve for x
    x = 17,790.42/114.67
  6. Step 6: Final answer
    x = 155.14

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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.