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Finding the Fourth Proportional to 170.42, 235.01 and 145.94

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Solution

The fourth proportional to 170.42, 235.01 and 145.94 is: 201.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.42 : 235.01 = 145.94 : x
  2. Step 2: Convert to fraction form
    170.42/235.01 = 145.94/x
  3. Step 3: Cross multiply
    170.42x = 235.01 × 145.94
  4. Step 4: Simplify right side
    170.42x = 34,296.63
  5. Step 5: Solve for x
    x = 34,296.63/170.42
  6. Step 6: Final answer
    x = 201.25

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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.