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Finding the Fourth Proportional to 412.40, 569.15 and 232.98

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Solution

The fourth proportional to 412.40, 569.15 and 232.98 is: 321.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.40 : 569.15 = 232.98 : x
  2. Step 2: Convert to fraction form
    412.40/569.15 = 232.98/x
  3. Step 3: Cross multiply
    412.40x = 569.15 × 232.98
  4. Step 4: Simplify right side
    412.40x = 132,602.41
  5. Step 5: Solve for x
    x = 132,602.41/412.40
  6. Step 6: Final answer
    x = 321.54

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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.