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Finding the Fourth Proportional to 510.98, 766.40 and 145.73

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Solution

The fourth proportional to 510.98, 766.40 and 145.73 is: 218.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.98 : 766.40 = 145.73 : x
  2. Step 2: Convert to fraction form
    510.98/766.40 = 145.73/x
  3. Step 3: Cross multiply
    510.98x = 766.40 × 145.73
  4. Step 4: Simplify right side
    510.98x = 111,688.66
  5. Step 5: Solve for x
    x = 111,688.66/510.98
  6. Step 6: Final answer
    x = 218.58

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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.