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Finding the Fourth Proportional to 553.51, 829.25 and 261.25

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Solution

The fourth proportional to 553.51, 829.25 and 261.25 is: 391.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.51 : 829.25 = 261.25 : x
  2. Step 2: Convert to fraction form
    553.51/829.25 = 261.25/x
  3. Step 3: Cross multiply
    553.51x = 829.25 × 261.25
  4. Step 4: Simplify right side
    553.51x = 216,645.30
  5. Step 5: Solve for x
    x = 216,645.30/553.51
  6. Step 6: Final answer
    x = 391.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.