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Finding the Fourth Proportional to 402.90, 602.83 and 246.17

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Solution

The fourth proportional to 402.90, 602.83 and 246.17 is: 368.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.90 : 602.83 = 246.17 : x
  2. Step 2: Convert to fraction form
    402.90/602.83 = 246.17/x
  3. Step 3: Cross multiply
    402.90x = 602.83 × 246.17
  4. Step 4: Simplify right side
    402.90x = 148,394.42
  5. Step 5: Solve for x
    x = 148,394.42/402.90
  6. Step 6: Final answer
    x = 368.32

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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.