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Finding the Fourth Proportional to 384, 573.26 and 332.40

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Solution

The fourth proportional to 384, 573.26 and 332.40 is: 496.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    384 : 573.26 = 332.40 : x
  2. Step 2: Convert to fraction form
    384/573.26 = 332.40/x
  3. Step 3: Cross multiply
    384x = 573.26 × 332.40
  4. Step 4: Simplify right side
    384x = 190,549.96
  5. Step 5: Solve for x
    x = 190,549.96/384
  6. Step 6: Final answer
    x = 496.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.