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Finding the Fourth Proportional to 309.98, 462.76 and 287.48

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Solution

The fourth proportional to 309.98, 462.76 and 287.48 is: 429.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.98 : 462.76 = 287.48 : x
  2. Step 2: Convert to fraction form
    309.98/462.76 = 287.48/x
  3. Step 3: Cross multiply
    309.98x = 462.76 × 287.48
  4. Step 4: Simplify right side
    309.98x = 133,034.24
  5. Step 5: Solve for x
    x = 133,034.24/309.98
  6. Step 6: Final answer
    x = 429.17

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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.