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Finding the Fourth Proportional to 208.64, 312.62 and 117.05

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Solution

The fourth proportional to 208.64, 312.62 and 117.05 is: 175.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.64 : 312.62 = 117.05 : x
  2. Step 2: Convert to fraction form
    208.64/312.62 = 117.05/x
  3. Step 3: Cross multiply
    208.64x = 312.62 × 117.05
  4. Step 4: Simplify right side
    208.64x = 36,590.02
  5. Step 5: Solve for x
    x = 36,590.02/208.64
  6. Step 6: Final answer
    x = 175.38

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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.