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Finding the Fourth Proportional to 302.40, 416.92 and 247.04

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Solution

The fourth proportional to 302.40, 416.92 and 247.04 is: 340.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.40 : 416.92 = 247.04 : x
  2. Step 2: Convert to fraction form
    302.40/416.92 = 247.04/x
  3. Step 3: Cross multiply
    302.40x = 416.92 × 247.04
  4. Step 4: Simplify right side
    302.40x = 102,995.92
  5. Step 5: Solve for x
    x = 102,995.92/302.40
  6. Step 6: Final answer
    x = 340.59

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