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Finding the Fourth Proportional to 510, 703.62 and 300.21

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Solution

The fourth proportional to 510, 703.62 and 300.21 is: 414.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    510 : 703.62 = 300.21 : x
  2. Step 2: Convert to fraction form
    510/703.62 = 300.21/x
  3. Step 3: Cross multiply
    510x = 703.62 × 300.21
  4. Step 4: Simplify right side
    510x = 211,233.76
  5. Step 5: Solve for x
    x = 211,233.76/510
  6. Step 6: Final answer
    x = 414.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.