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Finding the Fourth Proportional to 510.83, 765.80 and 202.90

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Solution

The fourth proportional to 510.83, 765.80 and 202.90 is: 304.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.83 : 765.80 = 202.90 : x
  2. Step 2: Convert to fraction form
    510.83/765.80 = 202.90/x
  3. Step 3: Cross multiply
    510.83x = 765.80 × 202.90
  4. Step 4: Simplify right side
    510.83x = 155,380.31
  5. Step 5: Solve for x
    x = 155,380.31/510.83
  6. Step 6: Final answer
    x = 304.17

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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.