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Finding the Fourth Proportional to 570.09, 855.12 and 204.81

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Solution

The fourth proportional to 570.09, 855.12 and 204.81 is: 307.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.09 : 855.12 = 204.81 : x
  2. Step 2: Convert to fraction form
    570.09/855.12 = 204.81/x
  3. Step 3: Cross multiply
    570.09x = 855.12 × 204.81
  4. Step 4: Simplify right side
    570.09x = 175,137.13
  5. Step 5: Solve for x
    x = 175,137.13/570.09
  6. Step 6: Final answer
    x = 307.21

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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.