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Finding the Fourth Proportional to 545.10, 816.45 and 339.23

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Solution

The fourth proportional to 545.10, 816.45 and 339.23 is: 508.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.10 : 816.45 = 339.23 : x
  2. Step 2: Convert to fraction form
    545.10/816.45 = 339.23/x
  3. Step 3: Cross multiply
    545.10x = 816.45 × 339.23
  4. Step 4: Simplify right side
    545.10x = 276,960.25
  5. Step 5: Solve for x
    x = 276,960.25/545.10
  6. Step 6: Final answer
    x = 508.09

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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.