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Finding the Fourth Proportional to 403.83, 606.14 and 313.51

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Solution

The fourth proportional to 403.83, 606.14 and 313.51 is: 470.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.83 : 606.14 = 313.51 : x
  2. Step 2: Convert to fraction form
    403.83/606.14 = 313.51/x
  3. Step 3: Cross multiply
    403.83x = 606.14 × 313.51
  4. Step 4: Simplify right side
    403.83x = 190,030.95
  5. Step 5: Solve for x
    x = 190,030.95/403.83
  6. Step 6: Final answer
    x = 470.57

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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.