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Finding the Fourth Proportional to 427.04, 589.51 and 261.33

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Solution

The fourth proportional to 427.04, 589.51 and 261.33 is: 360.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.04 : 589.51 = 261.33 : x
  2. Step 2: Convert to fraction form
    427.04/589.51 = 261.33/x
  3. Step 3: Cross multiply
    427.04x = 589.51 × 261.33
  4. Step 4: Simplify right side
    427.04x = 154,054.76
  5. Step 5: Solve for x
    x = 154,054.76/427.04
  6. Step 6: Final answer
    x = 360.75

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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.