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Finding the Fourth Proportional to 301.92, 415.44 and 260.28

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Solution

The fourth proportional to 301.92, 415.44 and 260.28 is: 358.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.92 : 415.44 = 260.28 : x
  2. Step 2: Convert to fraction form
    301.92/415.44 = 260.28/x
  3. Step 3: Cross multiply
    301.92x = 415.44 × 260.28
  4. Step 4: Simplify right side
    301.92x = 108,130.72
  5. Step 5: Solve for x
    x = 108,130.72/301.92
  6. Step 6: Final answer
    x = 358.14

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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.