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Finding the Fourth Proportional to 364.11, 545.17 and 340.42

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Solution

The fourth proportional to 364.11, 545.17 and 340.42 is: 509.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.11 : 545.17 = 340.42 : x
  2. Step 2: Convert to fraction form
    364.11/545.17 = 340.42/x
  3. Step 3: Cross multiply
    364.11x = 545.17 × 340.42
  4. Step 4: Simplify right side
    364.11x = 185,586.77
  5. Step 5: Solve for x
    x = 185,586.77/364.11
  6. Step 6: Final answer
    x = 509.70

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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.