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Finding the Fourth Proportional to 440.92, 609.78 and 368.20

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Solution

The fourth proportional to 440.92, 609.78 and 368.20 is: 509.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.92 : 609.78 = 368.20 : x
  2. Step 2: Convert to fraction form
    440.92/609.78 = 368.20/x
  3. Step 3: Cross multiply
    440.92x = 609.78 × 368.20
  4. Step 4: Simplify right side
    440.92x = 224,521.00
  5. Step 5: Solve for x
    x = 224,521.00/440.92
  6. Step 6: Final answer
    x = 509.21

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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.