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Finding the Fourth Proportional to 501.08, 691.47 and 280.02

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Solution

The fourth proportional to 501.08, 691.47 and 280.02 is: 386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.08 : 691.47 = 280.02 : x
  2. Step 2: Convert to fraction form
    501.08/691.47 = 280.02/x
  3. Step 3: Cross multiply
    501.08x = 691.47 × 280.02
  4. Step 4: Simplify right side
    501.08x = 193,625.43
  5. Step 5: Solve for x
    x = 193,625.43/501.08
  6. Step 6: Final answer
    x = 386.42

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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.