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Finding the Fourth Proportional to 430.48, 644.08 and 361.28

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Solution

The fourth proportional to 430.48, 644.08 and 361.28 is: 540.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.48 : 644.08 = 361.28 : x
  2. Step 2: Convert to fraction form
    430.48/644.08 = 361.28/x
  3. Step 3: Cross multiply
    430.48x = 644.08 × 361.28
  4. Step 4: Simplify right side
    430.48x = 232,693.22
  5. Step 5: Solve for x
    x = 232,693.22/430.48
  6. Step 6: Final answer
    x = 540.54

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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.