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Finding the Fourth Proportional to 642.14, 962.80 and 368.09

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Solution

The fourth proportional to 642.14, 962.80 and 368.09 is: 551.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.14 : 962.80 = 368.09 : x
  2. Step 2: Convert to fraction form
    642.14/962.80 = 368.09/x
  3. Step 3: Cross multiply
    642.14x = 962.80 × 368.09
  4. Step 4: Simplify right side
    642.14x = 354,391.32
  5. Step 5: Solve for x
    x = 354,391.32/642.14
  6. Step 6: Final answer
    x = 551.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.