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Finding the Fourth Proportional to 545.23, 815.80 and 301.93

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Solution

The fourth proportional to 545.23, 815.80 and 301.93 is: 451.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.23 : 815.80 = 301.93 : x
  2. Step 2: Convert to fraction form
    545.23/815.80 = 301.93/x
  3. Step 3: Cross multiply
    545.23x = 815.80 × 301.93
  4. Step 4: Simplify right side
    545.23x = 246,311.42
  5. Step 5: Solve for x
    x = 246,311.42/545.23
  6. Step 6: Final answer
    x = 451.76

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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.