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Finding the Fourth Proportional to 554.11, 830.85 and 257.30

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Solution

The fourth proportional to 554.11, 830.85 and 257.30 is: 385.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.11 : 830.85 = 257.30 : x
  2. Step 2: Convert to fraction form
    554.11/830.85 = 257.30/x
  3. Step 3: Cross multiply
    554.11x = 830.85 × 257.30
  4. Step 4: Simplify right side
    554.11x = 213,777.71
  5. Step 5: Solve for x
    x = 213,777.71/554.11
  6. Step 6: Final answer
    x = 385.80

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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.