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Finding the Fourth Proportional to 510.63, 765.85 and 145.46

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Solution

The fourth proportional to 510.63, 765.85 and 145.46 is: 218.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.63 : 765.85 = 145.46 : x
  2. Step 2: Convert to fraction form
    510.63/765.85 = 145.46/x
  3. Step 3: Cross multiply
    510.63x = 765.85 × 145.46
  4. Step 4: Simplify right side
    510.63x = 111,396.35
  5. Step 5: Solve for x
    x = 111,396.35/510.63
  6. Step 6: Final answer
    x = 218.15

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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.