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Finding the Fourth Proportional to 510.69, 765.80 and 181.53

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Solution

The fourth proportional to 510.69, 765.80 and 181.53 is: 272.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.69 : 765.80 = 181.53 : x
  2. Step 2: Convert to fraction form
    510.69/765.80 = 181.53/x
  3. Step 3: Cross multiply
    510.69x = 765.80 × 181.53
  4. Step 4: Simplify right side
    510.69x = 139,015.67
  5. Step 5: Solve for x
    x = 139,015.67/510.69
  6. Step 6: Final answer
    x = 272.21

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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.