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Finding the Fourth Proportional to 510.74, 766.06 and 202.51

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Solution

The fourth proportional to 510.74, 766.06 and 202.51 is: 303.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.74 : 766.06 = 202.51 : x
  2. Step 2: Convert to fraction form
    510.74/766.06 = 202.51/x
  3. Step 3: Cross multiply
    510.74x = 766.06 × 202.51
  4. Step 4: Simplify right side
    510.74x = 155,137.49
  5. Step 5: Solve for x
    x = 155,137.49/510.74
  6. Step 6: Final answer
    x = 303.75

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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.