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Finding the Fourth Proportional to 402.60, 552.21 and 386.40

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Solution

The fourth proportional to 402.60, 552.21 and 386.40 is: 529.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.60 : 552.21 = 386.40 : x
  2. Step 2: Convert to fraction form
    402.60/552.21 = 386.40/x
  3. Step 3: Cross multiply
    402.60x = 552.21 × 386.40
  4. Step 4: Simplify right side
    402.60x = 213,373.94
  5. Step 5: Solve for x
    x = 213,373.94/402.60
  6. Step 6: Final answer
    x = 529.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.