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Finding the Fourth Proportional to 501.21, 691.63 and 280.19

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Solution

The fourth proportional to 501.21, 691.63 and 280.19 is: 386.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.21 : 691.63 = 280.19 : x
  2. Step 2: Convert to fraction form
    501.21/691.63 = 280.19/x
  3. Step 3: Cross multiply
    501.21x = 691.63 × 280.19
  4. Step 4: Simplify right side
    501.21x = 193,788.84
  5. Step 5: Solve for x
    x = 193,788.84/501.21
  6. Step 6: Final answer
    x = 386.64

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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.