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Finding the Fourth Proportional to 338.58, 510.40 and 316.28

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Solution

The fourth proportional to 338.58, 510.40 and 316.28 is: 476.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.58 : 510.40 = 316.28 : x
  2. Step 2: Convert to fraction form
    338.58/510.40 = 316.28/x
  3. Step 3: Cross multiply
    338.58x = 510.40 × 316.28
  4. Step 4: Simplify right side
    338.58x = 161,429.31
  5. Step 5: Solve for x
    x = 161,429.31/338.58
  6. Step 6: Final answer
    x = 476.78

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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.