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Finding the Fourth Proportional to 309.13, 465.53 and 269.03

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Solution

The fourth proportional to 309.13, 465.53 and 269.03 is: 405.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.13 : 465.53 = 269.03 : x
  2. Step 2: Convert to fraction form
    309.13/465.53 = 269.03/x
  3. Step 3: Cross multiply
    309.13x = 465.53 × 269.03
  4. Step 4: Simplify right side
    309.13x = 125,241.35
  5. Step 5: Solve for x
    x = 125,241.35/309.13
  6. Step 6: Final answer
    x = 405.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.