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Finding the Fourth Proportional to 557.02, 835 and 279.20

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Solution

The fourth proportional to 557.02, 835 and 279.20 is: 418.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.02 : 835 = 279.20 : x
  2. Step 2: Convert to fraction form
    557.02/835 = 279.20/x
  3. Step 3: Cross multiply
    557.02x = 835 × 279.20
  4. Step 4: Simplify right side
    557.02x = 233,132
  5. Step 5: Solve for x
    x = 233,132/557.02
  6. Step 6: Final answer
    x = 418.53

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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.