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Finding the Fourth Proportional to 460.69, 636.16 and 313.68

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Solution

The fourth proportional to 460.69, 636.16 and 313.68 is: 433.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.69 : 636.16 = 313.68 : x
  2. Step 2: Convert to fraction form
    460.69/636.16 = 313.68/x
  3. Step 3: Cross multiply
    460.69x = 636.16 × 313.68
  4. Step 4: Simplify right side
    460.69x = 199,550.67
  5. Step 5: Solve for x
    x = 199,550.67/460.69
  6. Step 6: Final answer
    x = 433.16

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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.