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Finding the Fourth Proportional to 427.94, 590.60 and 253.25

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Solution

The fourth proportional to 427.94, 590.60 and 253.25 is: 349.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.94 : 590.60 = 253.25 : x
  2. Step 2: Convert to fraction form
    427.94/590.60 = 253.25/x
  3. Step 3: Cross multiply
    427.94x = 590.60 × 253.25
  4. Step 4: Simplify right side
    427.94x = 149,569.45
  5. Step 5: Solve for x
    x = 149,569.45/427.94
  6. Step 6: Final answer
    x = 349.51

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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.