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Finding the Fourth Proportional to 427.02, 588.68 and 302.30

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Solution

The fourth proportional to 427.02, 588.68 and 302.30 is: 416.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.02 : 588.68 = 302.30 : x
  2. Step 2: Convert to fraction form
    427.02/588.68 = 302.30/x
  3. Step 3: Cross multiply
    427.02x = 588.68 × 302.30
  4. Step 4: Simplify right side
    427.02x = 177,957.96
  5. Step 5: Solve for x
    x = 177,957.96/427.02
  6. Step 6: Final answer
    x = 416.74

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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.