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Finding the Fourth Proportional to 365.21, 545.08 and 341.11

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Solution

The fourth proportional to 365.21, 545.08 and 341.11 is: 509.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.21 : 545.08 = 341.11 : x
  2. Step 2: Convert to fraction form
    365.21/545.08 = 341.11/x
  3. Step 3: Cross multiply
    365.21x = 545.08 × 341.11
  4. Step 4: Simplify right side
    365.21x = 185,932.71
  5. Step 5: Solve for x
    x = 185,932.71/365.21
  6. Step 6: Final answer
    x = 509.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.