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Finding the Fourth Proportional to 545.76, 819 and 257.28

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Solution

The fourth proportional to 545.76, 819 and 257.28 is: 386.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.76 : 819 = 257.28 : x
  2. Step 2: Convert to fraction form
    545.76/819 = 257.28/x
  3. Step 3: Cross multiply
    545.76x = 819 × 257.28
  4. Step 4: Simplify right side
    545.76x = 210,712.32
  5. Step 5: Solve for x
    x = 210,712.32/545.76
  6. Step 6: Final answer
    x = 386.09

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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.