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Finding the Fourth Proportional to 430.24, 645.12 and 213.60

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Solution

The fourth proportional to 430.24, 645.12 and 213.60 is: 320.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.24 : 645.12 = 213.60 : x
  2. Step 2: Convert to fraction form
    430.24/645.12 = 213.60/x
  3. Step 3: Cross multiply
    430.24x = 645.12 × 213.60
  4. Step 4: Simplify right side
    430.24x = 137,797.63
  5. Step 5: Solve for x
    x = 137,797.63/430.24
  6. Step 6: Final answer
    x = 320.28

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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.