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Finding the Fourth Proportional to 170.16, 233.68 and 145.60

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Solution

The fourth proportional to 170.16, 233.68 and 145.60 is: 199.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.16 : 233.68 = 145.60 : x
  2. Step 2: Convert to fraction form
    170.16/233.68 = 145.60/x
  3. Step 3: Cross multiply
    170.16x = 233.68 × 145.60
  4. Step 4: Simplify right side
    170.16x = 34,023.81
  5. Step 5: Solve for x
    x = 34,023.81/170.16
  6. Step 6: Final answer
    x = 199.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.