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Finding the Fourth Proportional to 309.46, 461.98 and 268.45

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Solution

The fourth proportional to 309.46, 461.98 and 268.45 is: 400.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.46 : 461.98 = 268.45 : x
  2. Step 2: Convert to fraction form
    309.46/461.98 = 268.45/x
  3. Step 3: Cross multiply
    309.46x = 461.98 × 268.45
  4. Step 4: Simplify right side
    309.46x = 124,018.53
  5. Step 5: Solve for x
    x = 124,018.53/309.46
  6. Step 6: Final answer
    x = 400.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.