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Finding the Fourth Proportional to 384.43, 530.72 and 279.33

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Solution

The fourth proportional to 384.43, 530.72 and 279.33 is: 385.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.43 : 530.72 = 279.33 : x
  2. Step 2: Convert to fraction form
    384.43/530.72 = 279.33/x
  3. Step 3: Cross multiply
    384.43x = 530.72 × 279.33
  4. Step 4: Simplify right side
    384.43x = 148,245.32
  5. Step 5: Solve for x
    x = 148,245.32/384.43
  6. Step 6: Final answer
    x = 385.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.