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Finding the Fourth Proportional to 427.52, 590.82 and 362.72

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Solution

The fourth proportional to 427.52, 590.82 and 362.72 is: 501.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.52 : 590.82 = 362.72 : x
  2. Step 2: Convert to fraction form
    427.52/590.82 = 362.72/x
  3. Step 3: Cross multiply
    427.52x = 590.82 × 362.72
  4. Step 4: Simplify right side
    427.52x = 214,302.23
  5. Step 5: Solve for x
    x = 214,302.23/427.52
  6. Step 6: Final answer
    x = 501.27

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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.