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Finding the Fourth Proportional to 427.18, 588.93 and 364.75

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Solution

The fourth proportional to 427.18, 588.93 and 364.75 is: 502.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.18 : 588.93 = 364.75 : x
  2. Step 2: Convert to fraction form
    427.18/588.93 = 364.75/x
  3. Step 3: Cross multiply
    427.18x = 588.93 × 364.75
  4. Step 4: Simplify right side
    427.18x = 214,812.22
  5. Step 5: Solve for x
    x = 214,812.22/427.18
  6. Step 6: Final answer
    x = 502.86

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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.