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Finding the Fourth Proportional to 203.46, 305.16 and 117.78

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Solution

The fourth proportional to 203.46, 305.16 and 117.78 is: 176.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.46 : 305.16 = 117.78 : x
  2. Step 2: Convert to fraction form
    203.46/305.16 = 117.78/x
  3. Step 3: Cross multiply
    203.46x = 305.16 × 117.78
  4. Step 4: Simplify right side
    203.46x = 35,941.74
  5. Step 5: Solve for x
    x = 35,941.74/203.46
  6. Step 6: Final answer
    x = 176.65

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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.