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Finding the Fourth Proportional to 427.47, 590.10 and 303.24

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Solution

The fourth proportional to 427.47, 590.10 and 303.24 is: 418.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.47 : 590.10 = 303.24 : x
  2. Step 2: Convert to fraction form
    427.47/590.10 = 303.24/x
  3. Step 3: Cross multiply
    427.47x = 590.10 × 303.24
  4. Step 4: Simplify right side
    427.47x = 178,941.92
  5. Step 5: Solve for x
    x = 178,941.92/427.47
  6. Step 6: Final answer
    x = 418.61

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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.