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Finding the Fourth Proportional to 373.80, 561.08 and 323.24

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Solution

The fourth proportional to 373.80, 561.08 and 323.24 is: 485.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.80 : 561.08 = 323.24 : x
  2. Step 2: Convert to fraction form
    373.80/561.08 = 323.24/x
  3. Step 3: Cross multiply
    373.80x = 561.08 × 323.24
  4. Step 4: Simplify right side
    373.80x = 181,363.50
  5. Step 5: Solve for x
    x = 181,363.50/373.80
  6. Step 6: Final answer
    x = 485.19

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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.