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Finding the Fourth Proportional to 545.20, 816.86 and 339.91

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Solution

The fourth proportional to 545.20, 816.86 and 339.91 is: 509.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.20 : 816.86 = 339.91 : x
  2. Step 2: Convert to fraction form
    545.20/816.86 = 339.91/x
  3. Step 3: Cross multiply
    545.20x = 816.86 × 339.91
  4. Step 4: Simplify right side
    545.20x = 277,657.69
  5. Step 5: Solve for x
    x = 277,657.69/545.20
  6. Step 6: Final answer
    x = 509.28

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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.