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Finding the Fourth Proportional to 407.04, 561.36 and 323.52

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Solution

The fourth proportional to 407.04, 561.36 and 323.52 is: 446.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.04 : 561.36 = 323.52 : x
  2. Step 2: Convert to fraction form
    407.04/561.36 = 323.52/x
  3. Step 3: Cross multiply
    407.04x = 561.36 × 323.52
  4. Step 4: Simplify right side
    407.04x = 181,611.19
  5. Step 5: Solve for x
    x = 181,611.19/407.04
  6. Step 6: Final answer
    x = 446.18

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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.