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Finding the Fourth Proportional to 313.01, 471.64 and 260.09

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Solution

The fourth proportional to 313.01, 471.64 and 260.09 is: 391.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.01 : 471.64 = 260.09 : x
  2. Step 2: Convert to fraction form
    313.01/471.64 = 260.09/x
  3. Step 3: Cross multiply
    313.01x = 471.64 × 260.09
  4. Step 4: Simplify right side
    313.01x = 122,668.85
  5. Step 5: Solve for x
    x = 122,668.85/313.01
  6. Step 6: Final answer
    x = 391.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.