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Finding the Fourth Proportional to 430.28, 644.22 and 285.80

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Solution

The fourth proportional to 430.28, 644.22 and 285.80 is: 427.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.28 : 644.22 = 285.80 : x
  2. Step 2: Convert to fraction form
    430.28/644.22 = 285.80/x
  3. Step 3: Cross multiply
    430.28x = 644.22 × 285.80
  4. Step 4: Simplify right side
    430.28x = 184,118.08
  5. Step 5: Solve for x
    x = 184,118.08/430.28
  6. Step 6: Final answer
    x = 427.90

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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.