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Finding the Fourth Proportional to 384.62, 529.88 and 356.36

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Solution

The fourth proportional to 384.62, 529.88 and 356.36 is: 490.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.62 : 529.88 = 356.36 : x
  2. Step 2: Convert to fraction form
    384.62/529.88 = 356.36/x
  3. Step 3: Cross multiply
    384.62x = 529.88 × 356.36
  4. Step 4: Simplify right side
    384.62x = 188,823.61
  5. Step 5: Solve for x
    x = 188,823.61/384.62
  6. Step 6: Final answer
    x = 490.94

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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.