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Finding the Fourth Proportional to 545.99, 819.14 and 156

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Solution

The fourth proportional to 545.99, 819.14 and 156 is: 234.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.99 : 819.14 = 156 : x
  2. Step 2: Convert to fraction form
    545.99/819.14 = 156/x
  3. Step 3: Cross multiply
    545.99x = 819.14 × 156
  4. Step 4: Simplify right side
    545.99x = 127,785.06
  5. Step 5: Solve for x
    x = 127,785.06/545.99
  6. Step 6: Final answer
    x = 234.05

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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.