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Finding the Fourth Proportional to 313.11, 468.38 and 257.64

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Solution

The fourth proportional to 313.11, 468.38 and 257.64 is: 385.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.11 : 468.38 = 257.64 : x
  2. Step 2: Convert to fraction form
    313.11/468.38 = 257.64/x
  3. Step 3: Cross multiply
    313.11x = 468.38 × 257.64
  4. Step 4: Simplify right side
    313.11x = 120,672.14
  5. Step 5: Solve for x
    x = 120,672.14/313.11
  6. Step 6: Final answer
    x = 385.40

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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.