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Finding the Fourth Proportional to 553.26, 830.10 and 279.56

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Solution

The fourth proportional to 553.26, 830.10 and 279.56 is: 419.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.26 : 830.10 = 279.56 : x
  2. Step 2: Convert to fraction form
    553.26/830.10 = 279.56/x
  3. Step 3: Cross multiply
    553.26x = 830.10 × 279.56
  4. Step 4: Simplify right side
    553.26x = 232,058.61
  5. Step 5: Solve for x
    x = 232,058.61/553.26
  6. Step 6: Final answer
    x = 419.44

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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.