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Finding the Fourth Proportional to 485.31, 669.75 and 275.47

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Solution

The fourth proportional to 485.31, 669.75 and 275.47 is: 380.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.31 : 669.75 = 275.47 : x
  2. Step 2: Convert to fraction form
    485.31/669.75 = 275.47/x
  3. Step 3: Cross multiply
    485.31x = 669.75 × 275.47
  4. Step 4: Simplify right side
    485.31x = 184,495.84
  5. Step 5: Solve for x
    x = 184,495.84/485.31
  6. Step 6: Final answer
    x = 380.16

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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.