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Finding the Fourth Proportional to 485.76, 668.32 and 354.40

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Solution

The fourth proportional to 485.76, 668.32 and 354.40 is: 487.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.76 : 668.32 = 354.40 : x
  2. Step 2: Convert to fraction form
    485.76/668.32 = 354.40/x
  3. Step 3: Cross multiply
    485.76x = 668.32 × 354.40
  4. Step 4: Simplify right side
    485.76x = 236,852.61
  5. Step 5: Solve for x
    x = 236,852.61/485.76
  6. Step 6: Final answer
    x = 487.59

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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.