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Finding the Fourth Proportional to 545.15, 817.73 and 257.15

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Solution

The fourth proportional to 545.15, 817.73 and 257.15 is: 385.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.15 : 817.73 = 257.15 : x
  2. Step 2: Convert to fraction form
    545.15/817.73 = 257.15/x
  3. Step 3: Cross multiply
    545.15x = 817.73 × 257.15
  4. Step 4: Simplify right side
    545.15x = 210,277.98
  5. Step 5: Solve for x
    x = 210,277.98/545.15
  6. Step 6: Final answer
    x = 385.73

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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.