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Finding the Fourth Proportional to 407.77, 562.80 and 233.13

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Solution

The fourth proportional to 407.77, 562.80 and 233.13 is: 321.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.77 : 562.80 = 233.13 : x
  2. Step 2: Convert to fraction form
    407.77/562.80 = 233.13/x
  3. Step 3: Cross multiply
    407.77x = 562.80 × 233.13
  4. Step 4: Simplify right side
    407.77x = 131,205.56
  5. Step 5: Solve for x
    x = 131,205.56/407.77
  6. Step 6: Final answer
    x = 321.76

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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.