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Finding the Fourth Proportional to 364.05, 542.20 and 348.26

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Solution

The fourth proportional to 364.05, 542.20 and 348.26 is: 518.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.05 : 542.20 = 348.26 : x
  2. Step 2: Convert to fraction form
    364.05/542.20 = 348.26/x
  3. Step 3: Cross multiply
    364.05x = 542.20 × 348.26
  4. Step 4: Simplify right side
    364.05x = 188,822.99
  5. Step 5: Solve for x
    x = 188,822.99/364.05
  6. Step 6: Final answer
    x = 518.67

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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.