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Finding the Fourth Proportional to 170.64, 254.43 and 152.37

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Solution

The fourth proportional to 170.64, 254.43 and 152.37 is: 227.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.64 : 254.43 = 152.37 : x
  2. Step 2: Convert to fraction form
    170.64/254.43 = 152.37/x
  3. Step 3: Cross multiply
    170.64x = 254.43 × 152.37
  4. Step 4: Simplify right side
    170.64x = 38,767.50
  5. Step 5: Solve for x
    x = 38,767.50/170.64
  6. Step 6: Final answer
    x = 227.19

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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.