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Finding the Fourth Proportional to 309.84, 465.48 and 304.80

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Solution

The fourth proportional to 309.84, 465.48 and 304.80 is: 457.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.84 : 465.48 = 304.80 : x
  2. Step 2: Convert to fraction form
    309.84/465.48 = 304.80/x
  3. Step 3: Cross multiply
    309.84x = 465.48 × 304.80
  4. Step 4: Simplify right side
    309.84x = 141,878.30
  5. Step 5: Solve for x
    x = 141,878.30/309.84
  6. Step 6: Final answer
    x = 457.91

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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.