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Finding the Fourth Proportional to 349.85, 527.31 and 330.01

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Solution

The fourth proportional to 349.85, 527.31 and 330.01 is: 497.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.85 : 527.31 = 330.01 : x
  2. Step 2: Convert to fraction form
    349.85/527.31 = 330.01/x
  3. Step 3: Cross multiply
    349.85x = 527.31 × 330.01
  4. Step 4: Simplify right side
    349.85x = 174,016.25
  5. Step 5: Solve for x
    x = 174,016.25/349.85
  6. Step 6: Final answer
    x = 497.40

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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.