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Finding the Fourth Proportional to 430.54, 645.44 and 186.88

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Solution

The fourth proportional to 430.54, 645.44 and 186.88 is: 280.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.54 : 645.44 = 186.88 : x
  2. Step 2: Convert to fraction form
    430.54/645.44 = 186.88/x
  3. Step 3: Cross multiply
    430.54x = 645.44 × 186.88
  4. Step 4: Simplify right side
    430.54x = 120,619.83
  5. Step 5: Solve for x
    x = 120,619.83/430.54
  6. Step 6: Final answer
    x = 280.16

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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.