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Finding the Fourth Proportional to 255.17, 352.05 and 151.67

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Solution

The fourth proportional to 255.17, 352.05 and 151.67 is: 209.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.17 : 352.05 = 151.67 : x
  2. Step 2: Convert to fraction form
    255.17/352.05 = 151.67/x
  3. Step 3: Cross multiply
    255.17x = 352.05 × 151.67
  4. Step 4: Simplify right side
    255.17x = 53,395.42
  5. Step 5: Solve for x
    x = 53,395.42/255.17
  6. Step 6: Final answer
    x = 209.25

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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.