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Finding the Fourth Proportional to 554.09, 830.85 and 207.36

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Solution

The fourth proportional to 554.09, 830.85 and 207.36 is: 310.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.09 : 830.85 = 207.36 : x
  2. Step 2: Convert to fraction form
    554.09/830.85 = 207.36/x
  3. Step 3: Cross multiply
    554.09x = 830.85 × 207.36
  4. Step 4: Simplify right side
    554.09x = 172,285.06
  5. Step 5: Solve for x
    x = 172,285.06/554.09
  6. Step 6: Final answer
    x = 310.94

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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.