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Finding the Fourth Proportional to 170.64, 235.24 and 126.32

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Solution

The fourth proportional to 170.64, 235.24 and 126.32 is: 174.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.64 : 235.24 = 126.32 : x
  2. Step 2: Convert to fraction form
    170.64/235.24 = 126.32/x
  3. Step 3: Cross multiply
    170.64x = 235.24 × 126.32
  4. Step 4: Simplify right side
    170.64x = 29,714.02
  5. Step 5: Solve for x
    x = 29,714.02/170.64
  6. Step 6: Final answer
    x = 174.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.