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Finding the Fourth Proportional to 302.13, 416.61 and 239.86

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Solution

The fourth proportional to 302.13, 416.61 and 239.86 is: 330.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.13 : 416.61 = 239.86 : x
  2. Step 2: Convert to fraction form
    302.13/416.61 = 239.86/x
  3. Step 3: Cross multiply
    302.13x = 416.61 × 239.86
  4. Step 4: Simplify right side
    302.13x = 99,928.07
  5. Step 5: Solve for x
    x = 99,928.07/302.13
  6. Step 6: Final answer
    x = 330.75

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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.