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Finding the Fourth Proportional to 313.60, 432.84 and 195.64

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Solution

The fourth proportional to 313.60, 432.84 and 195.64 is: 270.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.60 : 432.84 = 195.64 : x
  2. Step 2: Convert to fraction form
    313.60/432.84 = 195.64/x
  3. Step 3: Cross multiply
    313.60x = 432.84 × 195.64
  4. Step 4: Simplify right side
    313.60x = 84,680.82
  5. Step 5: Solve for x
    x = 84,680.82/313.60
  6. Step 6: Final answer
    x = 270.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.