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Finding the Fourth Proportional to 554.84, 832.43 and 208.20

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Solution

The fourth proportional to 554.84, 832.43 and 208.20 is: 312.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.84 : 832.43 = 208.20 : x
  2. Step 2: Convert to fraction form
    554.84/832.43 = 208.20/x
  3. Step 3: Cross multiply
    554.84x = 832.43 × 208.20
  4. Step 4: Simplify right side
    554.84x = 173,315.57
  5. Step 5: Solve for x
    x = 173,315.57/554.84
  6. Step 6: Final answer
    x = 312.37

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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.