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Finding the Fourth Proportional to 335.19, 464.54 and 330.07

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Solution

The fourth proportional to 335.19, 464.54 and 330.07 is: 457.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.19 : 464.54 = 330.07 : x
  2. Step 2: Convert to fraction form
    335.19/464.54 = 330.07/x
  3. Step 3: Cross multiply
    335.19x = 464.54 × 330.07
  4. Step 4: Simplify right side
    335.19x = 153,329.14
  5. Step 5: Solve for x
    x = 153,329.14/335.19
  6. Step 6: Final answer
    x = 457.44

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.