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Finding the Fourth Proportional to 309.01, 463.75 and 268.92

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Solution

The fourth proportional to 309.01, 463.75 and 268.92 is: 403.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.01 : 463.75 = 268.92 : x
  2. Step 2: Convert to fraction form
    309.01/463.75 = 268.92/x
  3. Step 3: Cross multiply
    309.01x = 463.75 × 268.92
  4. Step 4: Simplify right side
    309.01x = 124,709.24
  5. Step 5: Solve for x
    x = 124,709.24/309.01
  6. Step 6: Final answer
    x = 403.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.