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Finding the Fourth Proportional to 439.86, 607.29 and 282.57

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Solution

The fourth proportional to 439.86, 607.29 and 282.57 is: 390.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.86 : 607.29 = 282.57 : x
  2. Step 2: Convert to fraction form
    439.86/607.29 = 282.57/x
  3. Step 3: Cross multiply
    439.86x = 607.29 × 282.57
  4. Step 4: Simplify right side
    439.86x = 171,601.94
  5. Step 5: Solve for x
    x = 171,601.94/439.86
  6. Step 6: Final answer
    x = 390.13

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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.