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Finding the Fourth Proportional to 545.76, 818.58 and 160.98

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Solution

The fourth proportional to 545.76, 818.58 and 160.98 is: 241.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.76 : 818.58 = 160.98 : x
  2. Step 2: Convert to fraction form
    545.76/818.58 = 160.98/x
  3. Step 3: Cross multiply
    545.76x = 818.58 × 160.98
  4. Step 4: Simplify right side
    545.76x = 131,775.01
  5. Step 5: Solve for x
    x = 131,775.01/545.76
  6. Step 6: Final answer
    x = 241.45

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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.