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Finding the Fourth Proportional to 211.60, 314.69 and 195.40

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Solution

The fourth proportional to 211.60, 314.69 and 195.40 is: 290.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.60 : 314.69 = 195.40 : x
  2. Step 2: Convert to fraction form
    211.60/314.69 = 195.40/x
  3. Step 3: Cross multiply
    211.60x = 314.69 × 195.40
  4. Step 4: Simplify right side
    211.60x = 61,490.43
  5. Step 5: Solve for x
    x = 61,490.43/211.60
  6. Step 6: Final answer
    x = 290.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.