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Finding the Fourth Proportional to 384.80, 573.82 and 354.88

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Solution

The fourth proportional to 384.80, 573.82 and 354.88 is: 529.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.80 : 573.82 = 354.88 : x
  2. Step 2: Convert to fraction form
    384.80/573.82 = 354.88/x
  3. Step 3: Cross multiply
    384.80x = 573.82 × 354.88
  4. Step 4: Simplify right side
    384.80x = 203,637.24
  5. Step 5: Solve for x
    x = 203,637.24/384.80
  6. Step 6: Final answer
    x = 529.20

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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.