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Finding the Fourth Proportional to 170.42, 255.64 and 98.14

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Solution

The fourth proportional to 170.42, 255.64 and 98.14 is: 147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.42 : 255.64 = 98.14 : x
  2. Step 2: Convert to fraction form
    170.42/255.64 = 98.14/x
  3. Step 3: Cross multiply
    170.42x = 255.64 × 98.14
  4. Step 4: Simplify right side
    170.42x = 25,088.51
  5. Step 5: Solve for x
    x = 25,088.51/170.42
  6. Step 6: Final answer
    x = 147.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.