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Finding the Fourth Proportional to 427.52, 590.57 and 330.51

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Solution

The fourth proportional to 427.52, 590.57 and 330.51 is: 456.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.52 : 590.57 = 330.51 : x
  2. Step 2: Convert to fraction form
    427.52/590.57 = 330.51/x
  3. Step 3: Cross multiply
    427.52x = 590.57 × 330.51
  4. Step 4: Simplify right side
    427.52x = 195,187.64
  5. Step 5: Solve for x
    x = 195,187.64/427.52
  6. Step 6: Final answer
    x = 456.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.