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Finding the Fourth Proportional to 570.08, 855.15 and 185.34

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Solution

The fourth proportional to 570.08, 855.15 and 185.34 is: 278.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.08 : 855.15 = 185.34 : x
  2. Step 2: Convert to fraction form
    570.08/855.15 = 185.34/x
  3. Step 3: Cross multiply
    570.08x = 855.15 × 185.34
  4. Step 4: Simplify right side
    570.08x = 158,493.50
  5. Step 5: Solve for x
    x = 158,493.50/570.08
  6. Step 6: Final answer
    x = 278.02

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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.