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Finding the Fourth Proportional to 303.42, 455.21 and 166.40

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Solution

The fourth proportional to 303.42, 455.21 and 166.40 is: 249.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.42 : 455.21 = 166.40 : x
  2. Step 2: Convert to fraction form
    303.42/455.21 = 166.40/x
  3. Step 3: Cross multiply
    303.42x = 455.21 × 166.40
  4. Step 4: Simplify right side
    303.42x = 75,746.17
  5. Step 5: Solve for x
    x = 75,746.17/303.42
  6. Step 6: Final answer
    x = 249.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.