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Finding the Fourth Proportional to 384.68, 529.80 and 354.44

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Solution

The fourth proportional to 384.68, 529.80 and 354.44 is: 488.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.68 : 529.80 = 354.44 : x
  2. Step 2: Convert to fraction form
    384.68/529.80 = 354.44/x
  3. Step 3: Cross multiply
    384.68x = 529.80 × 354.44
  4. Step 4: Simplify right side
    384.68x = 187,782.31
  5. Step 5: Solve for x
    x = 187,782.31/384.68
  6. Step 6: Final answer
    x = 488.15

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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.