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Finding the Fourth Proportional to 440.98, 609.71 and 386.30

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Solution

The fourth proportional to 440.98, 609.71 and 386.30 is: 534.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.98 : 609.71 = 386.30 : x
  2. Step 2: Convert to fraction form
    440.98/609.71 = 386.30/x
  3. Step 3: Cross multiply
    440.98x = 609.71 × 386.30
  4. Step 4: Simplify right side
    440.98x = 235,530.97
  5. Step 5: Solve for x
    x = 235,530.97/440.98
  6. Step 6: Final answer
    x = 534.11

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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.