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Finding the Fourth Proportional to 338.13, 510.75 and 338.13

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Solution

The fourth proportional to 338.13, 510.75 and 338.13 is: 510.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.13 : 510.75 = 338.13 : x
  2. Step 2: Convert to fraction form
    338.13/510.75 = 338.13/x
  3. Step 3: Cross multiply
    338.13x = 510.75 × 338.13
  4. Step 4: Simplify right side
    338.13x = 172,699.90
  5. Step 5: Solve for x
    x = 172,699.90/338.13
  6. Step 6: Final answer
    x = 510.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.