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Finding the Fourth Proportional to 302.28, 416.08 and 260.68

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Solution

The fourth proportional to 302.28, 416.08 and 260.68 is: 358.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.28 : 416.08 = 260.68 : x
  2. Step 2: Convert to fraction form
    302.28/416.08 = 260.68/x
  3. Step 3: Cross multiply
    302.28x = 416.08 × 260.68
  4. Step 4: Simplify right side
    302.28x = 108,463.73
  5. Step 5: Solve for x
    x = 108,463.73/302.28
  6. Step 6: Final answer
    x = 358.82

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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.