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Finding the Fourth Proportional to 510.81, 766.25 and 145.58

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Solution

The fourth proportional to 510.81, 766.25 and 145.58 is: 218.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.81 : 766.25 = 145.58 : x
  2. Step 2: Convert to fraction form
    510.81/766.25 = 145.58/x
  3. Step 3: Cross multiply
    510.81x = 766.25 × 145.58
  4. Step 4: Simplify right side
    510.81x = 111,546.12
  5. Step 5: Solve for x
    x = 111,546.12/510.81
  6. Step 6: Final answer
    x = 218.37

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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.