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Finding the Fourth Proportional to 421.24, 581.46 and 297.52

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Solution

The fourth proportional to 421.24, 581.46 and 297.52 is: 410.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.24 : 581.46 = 297.52 : x
  2. Step 2: Convert to fraction form
    421.24/581.46 = 297.52/x
  3. Step 3: Cross multiply
    421.24x = 581.46 × 297.52
  4. Step 4: Simplify right side
    421.24x = 172,995.98
  5. Step 5: Solve for x
    x = 172,995.98/421.24
  6. Step 6: Final answer
    x = 410.68

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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.