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Finding the Fourth Proportional to 440.58, 608.76 and 385.23

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Solution

The fourth proportional to 440.58, 608.76 and 385.23 is: 532.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.58 : 608.76 = 385.23 : x
  2. Step 2: Convert to fraction form
    440.58/608.76 = 385.23/x
  3. Step 3: Cross multiply
    440.58x = 608.76 × 385.23
  4. Step 4: Simplify right side
    440.58x = 234,511.17
  5. Step 5: Solve for x
    x = 234,511.17/440.58
  6. Step 6: Final answer
    x = 532.28

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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.