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Finding the Fourth Proportional to 421.24, 581.08 and 355.64

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Solution

The fourth proportional to 421.24, 581.08 and 355.64 is: 490.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.24 : 581.08 = 355.64 : x
  2. Step 2: Convert to fraction form
    421.24/581.08 = 355.64/x
  3. Step 3: Cross multiply
    421.24x = 581.08 × 355.64
  4. Step 4: Simplify right side
    421.24x = 206,655.29
  5. Step 5: Solve for x
    x = 206,655.29/421.24
  6. Step 6: Final answer
    x = 490.59

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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.