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Finding the Fourth Proportional to 437.50, 604.11 and 282.52

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Solution

The fourth proportional to 437.50, 604.11 and 282.52 is: 390.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.50 : 604.11 = 282.52 : x
  2. Step 2: Convert to fraction form
    437.50/604.11 = 282.52/x
  3. Step 3: Cross multiply
    437.50x = 604.11 × 282.52
  4. Step 4: Simplify right side
    437.50x = 170,673.16
  5. Step 5: Solve for x
    x = 170,673.16/437.50
  6. Step 6: Final answer
    x = 390.11

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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.