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Finding the Fourth Proportional to 554.68, 832.18 and 208.12

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Solution

The fourth proportional to 554.68, 832.18 and 208.12 is: 312.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.68 : 832.18 = 208.12 : x
  2. Step 2: Convert to fraction form
    554.68/832.18 = 208.12/x
  3. Step 3: Cross multiply
    554.68x = 832.18 × 208.12
  4. Step 4: Simplify right side
    554.68x = 173,193.30
  5. Step 5: Solve for x
    x = 173,193.30/554.68
  6. Step 6: Final answer
    x = 312.24

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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.