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Finding the Fourth Proportional to 335.66, 505.94 and 313.40

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Solution

The fourth proportional to 335.66, 505.94 and 313.40 is: 472.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.66 : 505.94 = 313.40 : x
  2. Step 2: Convert to fraction form
    335.66/505.94 = 313.40/x
  3. Step 3: Cross multiply
    335.66x = 505.94 × 313.40
  4. Step 4: Simplify right side
    335.66x = 158,561.60
  5. Step 5: Solve for x
    x = 158,561.60/335.66
  6. Step 6: Final answer
    x = 472.39

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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.