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Finding the Fourth Proportional to 170.16, 253.83 and 151.95

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Solution

The fourth proportional to 170.16, 253.83 and 151.95 is: 226.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.16 : 253.83 = 151.95 : x
  2. Step 2: Convert to fraction form
    170.16/253.83 = 151.95/x
  3. Step 3: Cross multiply
    170.16x = 253.83 × 151.95
  4. Step 4: Simplify right side
    170.16x = 38,569.47
  5. Step 5: Solve for x
    x = 38,569.47/170.16
  6. Step 6: Final answer
    x = 226.67

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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.