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Finding the Fourth Proportional to 202.95, 304.58 and 162.86

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Solution

The fourth proportional to 202.95, 304.58 and 162.86 is: 244.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.95 : 304.58 = 162.86 : x
  2. Step 2: Convert to fraction form
    202.95/304.58 = 162.86/x
  3. Step 3: Cross multiply
    202.95x = 304.58 × 162.86
  4. Step 4: Simplify right side
    202.95x = 49,601.56
  5. Step 5: Solve for x
    x = 49,601.56/202.95
  6. Step 6: Final answer
    x = 244.40

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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.