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Finding the Fourth Proportional to 346.41, 480.09 and 339.93

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Solution

The fourth proportional to 346.41, 480.09 and 339.93 is: 471.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.41 : 480.09 = 339.93 : x
  2. Step 2: Convert to fraction form
    346.41/480.09 = 339.93/x
  3. Step 3: Cross multiply
    346.41x = 480.09 × 339.93
  4. Step 4: Simplify right side
    346.41x = 163,196.99
  5. Step 5: Solve for x
    x = 163,196.99/346.41
  6. Step 6: Final answer
    x = 471.11

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.