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Finding the Fourth Proportional to 437, 603.06 and 282.02

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Solution

The fourth proportional to 437, 603.06 and 282.02 is: 389.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    437 : 603.06 = 282.02 : x
  2. Step 2: Convert to fraction form
    437/603.06 = 282.02/x
  3. Step 3: Cross multiply
    437x = 603.06 × 282.02
  4. Step 4: Simplify right side
    437x = 170,074.98
  5. Step 5: Solve for x
    x = 170,074.98/437
  6. Step 6: Final answer
    x = 389.19

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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.