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Finding the Fourth Proportional to 335.13, 499.64 and 314.47

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Solution

The fourth proportional to 335.13, 499.64 and 314.47 is: 468.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.13 : 499.64 = 314.47 : x
  2. Step 2: Convert to fraction form
    335.13/499.64 = 314.47/x
  3. Step 3: Cross multiply
    335.13x = 499.64 × 314.47
  4. Step 4: Simplify right side
    335.13x = 157,121.79
  5. Step 5: Solve for x
    x = 157,121.79/335.13
  6. Step 6: Final answer
    x = 468.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.