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Finding the Fourth Proportional to 421.41, 581.55 and 232.35

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Solution

The fourth proportional to 421.41, 581.55 and 232.35 is: 320.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.41 : 581.55 = 232.35 : x
  2. Step 2: Convert to fraction form
    421.41/581.55 = 232.35/x
  3. Step 3: Cross multiply
    421.41x = 581.55 × 232.35
  4. Step 4: Simplify right side
    421.41x = 135,123.14
  5. Step 5: Solve for x
    x = 135,123.14/421.41
  6. Step 6: Final answer
    x = 320.65

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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.