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Finding the Fourth Proportional to 485.40, 728.14 and 156.37

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Solution

The fourth proportional to 485.40, 728.14 and 156.37 is: 234.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.40 : 728.14 = 156.37 : x
  2. Step 2: Convert to fraction form
    485.40/728.14 = 156.37/x
  3. Step 3: Cross multiply
    485.40x = 728.14 × 156.37
  4. Step 4: Simplify right side
    485.40x = 113,859.25
  5. Step 5: Solve for x
    x = 113,859.25/485.40
  6. Step 6: Final answer
    x = 234.57

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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.