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Finding the Fourth Proportional to 318.80, 477.48 and 257.76

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Solution

The fourth proportional to 318.80, 477.48 and 257.76 is: 386.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.80 : 477.48 = 257.76 : x
  2. Step 2: Convert to fraction form
    318.80/477.48 = 257.76/x
  3. Step 3: Cross multiply
    318.80x = 477.48 × 257.76
  4. Step 4: Simplify right side
    318.80x = 123,075.24
  5. Step 5: Solve for x
    x = 123,075.24/318.80
  6. Step 6: Final answer
    x = 386.06

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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.