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Finding the Fourth Proportional to 485.13, 728.01 and 228.65

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Solution

The fourth proportional to 485.13, 728.01 and 228.65 is: 343.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.13 : 728.01 = 228.65 : x
  2. Step 2: Convert to fraction form
    485.13/728.01 = 228.65/x
  3. Step 3: Cross multiply
    485.13x = 728.01 × 228.65
  4. Step 4: Simplify right side
    485.13x = 166,459.49
  5. Step 5: Solve for x
    x = 166,459.49/485.13
  6. Step 6: Final answer
    x = 343.12

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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.