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Finding the Fourth Proportional to 486.04, 729.10 and 355.78

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Solution

The fourth proportional to 486.04, 729.10 and 355.78 is: 533.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.04 : 729.10 = 355.78 : x
  2. Step 2: Convert to fraction form
    486.04/729.10 = 355.78/x
  3. Step 3: Cross multiply
    486.04x = 729.10 × 355.78
  4. Step 4: Simplify right side
    486.04x = 259,399.20
  5. Step 5: Solve for x
    x = 259,399.20/486.04
  6. Step 6: Final answer
    x = 533.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.