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Finding the Fourth Proportional to 485.10, 727.32 and 176.91

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Solution

The fourth proportional to 485.10, 727.32 and 176.91 is: 265.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.10 : 727.32 = 176.91 : x
  2. Step 2: Convert to fraction form
    485.10/727.32 = 176.91/x
  3. Step 3: Cross multiply
    485.10x = 727.32 × 176.91
  4. Step 4: Simplify right side
    485.10x = 128,669.30
  5. Step 5: Solve for x
    x = 128,669.30/485.10
  6. Step 6: Final answer
    x = 265.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.