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Finding the Fourth Proportional to 335.64, 499.83 and 314.88

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Solution

The fourth proportional to 335.64, 499.83 and 314.88 is: 468.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.64 : 499.83 = 314.88 : x
  2. Step 2: Convert to fraction form
    335.64/499.83 = 314.88/x
  3. Step 3: Cross multiply
    335.64x = 499.83 × 314.88
  4. Step 4: Simplify right side
    335.64x = 157,386.47
  5. Step 5: Solve for x
    x = 157,386.47/335.64
  6. Step 6: Final answer
    x = 468.91

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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.