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Finding the Fourth Proportional to 338.77, 510.47 and 279.23

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Solution

The fourth proportional to 338.77, 510.47 and 279.23 is: 420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.77 : 510.47 = 279.23 : x
  2. Step 2: Convert to fraction form
    338.77/510.47 = 279.23/x
  3. Step 3: Cross multiply
    338.77x = 510.47 × 279.23
  4. Step 4: Simplify right side
    338.77x = 142,537.14
  5. Step 5: Solve for x
    x = 142,537.14/338.77
  6. Step 6: Final answer
    x = 420.75

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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.