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Finding the Fourth Proportional to 114.16, 170.54 and 105.04

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Solution

The fourth proportional to 114.16, 170.54 and 105.04 is: 156.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.16 : 170.54 = 105.04 : x
  2. Step 2: Convert to fraction form
    114.16/170.54 = 105.04/x
  3. Step 3: Cross multiply
    114.16x = 170.54 × 105.04
  4. Step 4: Simplify right side
    114.16x = 17,913.52
  5. Step 5: Solve for x
    x = 17,913.52/114.16
  6. Step 6: Final answer
    x = 156.92

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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.