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Finding the Fourth Proportional to 338.88, 510.64 and 279.35

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Solution

The fourth proportional to 338.88, 510.64 and 279.35 is: 420.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.88 : 510.64 = 279.35 : x
  2. Step 2: Convert to fraction form
    338.88/510.64 = 279.35/x
  3. Step 3: Cross multiply
    338.88x = 510.64 × 279.35
  4. Step 4: Simplify right side
    338.88x = 142,645.95
  5. Step 5: Solve for x
    x = 142,645.95/338.88
  6. Step 6: Final answer
    x = 420.93

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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.