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Finding the Fourth Proportional to 427.28, 588.67 and 368.15

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Solution

The fourth proportional to 427.28, 588.67 and 368.15 is: 507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.28 : 588.67 = 368.15 : x
  2. Step 2: Convert to fraction form
    427.28/588.67 = 368.15/x
  3. Step 3: Cross multiply
    427.28x = 588.67 × 368.15
  4. Step 4: Simplify right side
    427.28x = 216,715.00
  5. Step 5: Solve for x
    x = 216,715.00/427.28
  6. Step 6: Final answer
    x = 507.20

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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.