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Finding the Fourth Proportional to 335.58, 505.91 and 312.09

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Solution

The fourth proportional to 335.58, 505.91 and 312.09 is: 470.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.58 : 505.91 = 312.09 : x
  2. Step 2: Convert to fraction form
    335.58/505.91 = 312.09/x
  3. Step 3: Cross multiply
    335.58x = 505.91 × 312.09
  4. Step 4: Simplify right side
    335.58x = 157,889.45
  5. Step 5: Solve for x
    x = 157,889.45/335.58
  6. Step 6: Final answer
    x = 470.50

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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.