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Finding the Fourth Proportional to 510.97, 705 and 301.14

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Solution

The fourth proportional to 510.97, 705 and 301.14 is: 415.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.97 : 705 = 301.14 : x
  2. Step 2: Convert to fraction form
    510.97/705 = 301.14/x
  3. Step 3: Cross multiply
    510.97x = 705 × 301.14
  4. Step 4: Simplify right side
    510.97x = 212,303.70
  5. Step 5: Solve for x
    x = 212,303.70/510.97
  6. Step 6: Final answer
    x = 415.49

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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.