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Finding the Fourth Proportional to 653.90, 902.38 and 355.15

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Solution

The fourth proportional to 653.90, 902.38 and 355.15 is: 490.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.90 : 902.38 = 355.15 : x
  2. Step 2: Convert to fraction form
    653.90/902.38 = 355.15/x
  3. Step 3: Cross multiply
    653.90x = 902.38 × 355.15
  4. Step 4: Simplify right side
    653.90x = 320,475.09
  5. Step 5: Solve for x
    x = 320,475.09/653.90
  6. Step 6: Final answer
    x = 490.10

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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.