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Finding the Fourth Proportional to 346.98, 520.39 and 103.44

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Solution

The fourth proportional to 346.98, 520.39 and 103.44 is: 155.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.98 : 520.39 = 103.44 : x
  2. Step 2: Convert to fraction form
    346.98/520.39 = 103.44/x
  3. Step 3: Cross multiply
    346.98x = 520.39 × 103.44
  4. Step 4: Simplify right side
    346.98x = 53,831.22
  5. Step 5: Solve for x
    x = 53,831.22/346.98
  6. Step 6: Final answer
    x = 155.14

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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.