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Finding the Fourth Proportional to 485.12, 669.34 and 288.68

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Solution

The fourth proportional to 485.12, 669.34 and 288.68 is: 398.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.12 : 669.34 = 288.68 : x
  2. Step 2: Convert to fraction form
    485.12/669.34 = 288.68/x
  3. Step 3: Cross multiply
    485.12x = 669.34 × 288.68
  4. Step 4: Simplify right side
    485.12x = 193,225.07
  5. Step 5: Solve for x
    x = 193,225.07/485.12
  6. Step 6: Final answer
    x = 398.30

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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.