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Finding the Fourth Proportional to 309.98, 424.96 and 304.52

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Solution

The fourth proportional to 309.98, 424.96 and 304.52 is: 417.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.98 : 424.96 = 304.52 : x
  2. Step 2: Convert to fraction form
    309.98/424.96 = 304.52/x
  3. Step 3: Cross multiply
    309.98x = 424.96 × 304.52
  4. Step 4: Simplify right side
    309.98x = 129,408.82
  5. Step 5: Solve for x
    x = 129,408.82/309.98
  6. Step 6: Final answer
    x = 417.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.