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Finding the Fourth Proportional to 355.80, 530.70 and 324.36

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Solution

The fourth proportional to 355.80, 530.70 and 324.36 is: 483.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.80 : 530.70 = 324.36 : x
  2. Step 2: Convert to fraction form
    355.80/530.70 = 324.36/x
  3. Step 3: Cross multiply
    355.80x = 530.70 × 324.36
  4. Step 4: Simplify right side
    355.80x = 172,137.85
  5. Step 5: Solve for x
    x = 172,137.85/355.80
  6. Step 6: Final answer
    x = 483.81

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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.