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Finding the Fourth Proportional to 421.54, 581.13 and 296.82

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Solution

The fourth proportional to 421.54, 581.13 and 296.82 is: 409.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.54 : 581.13 = 296.82 : x
  2. Step 2: Convert to fraction form
    421.54/581.13 = 296.82/x
  3. Step 3: Cross multiply
    421.54x = 581.13 × 296.82
  4. Step 4: Simplify right side
    421.54x = 172,491.01
  5. Step 5: Solve for x
    x = 172,491.01/421.54
  6. Step 6: Final answer
    x = 409.19

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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.