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Finding the Fourth Proportional to 485.13, 669.26 and 288.60

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Solution

The fourth proportional to 485.13, 669.26 and 288.60 is: 398.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.13 : 669.26 = 288.60 : x
  2. Step 2: Convert to fraction form
    485.13/669.26 = 288.60/x
  3. Step 3: Cross multiply
    485.13x = 669.26 × 288.60
  4. Step 4: Simplify right side
    485.13x = 193,147.48
  5. Step 5: Solve for x
    x = 193,147.48/485.13
  6. Step 6: Final answer
    x = 398.14

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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.