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Finding the Fourth Proportional to 208.95, 312.68 and 117.74

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Solution

The fourth proportional to 208.95, 312.68 and 117.74 is: 176.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.95 : 312.68 = 117.74 : x
  2. Step 2: Convert to fraction form
    208.95/312.68 = 117.74/x
  3. Step 3: Cross multiply
    208.95x = 312.68 × 117.74
  4. Step 4: Simplify right side
    208.95x = 36,812.79
  5. Step 5: Solve for x
    x = 36,812.79/208.95
  6. Step 6: Final answer
    x = 176.18

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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.