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Finding the Fourth Proportional to 346.33, 478.27 and 296.92

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Solution

The fourth proportional to 346.33, 478.27 and 296.92 is: 410.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.33 : 478.27 = 296.92 : x
  2. Step 2: Convert to fraction form
    346.33/478.27 = 296.92/x
  3. Step 3: Cross multiply
    346.33x = 478.27 × 296.92
  4. Step 4: Simplify right side
    346.33x = 142,007.93
  5. Step 5: Solve for x
    x = 142,007.93/346.33
  6. Step 6: Final answer
    x = 410.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.