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Finding the Fourth Proportional to 386.88, 576.96 and 317.76

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Solution

The fourth proportional to 386.88, 576.96 and 317.76 is: 473.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.88 : 576.96 = 317.76 : x
  2. Step 2: Convert to fraction form
    386.88/576.96 = 317.76/x
  3. Step 3: Cross multiply
    386.88x = 576.96 × 317.76
  4. Step 4: Simplify right side
    386.88x = 183,334.81
  5. Step 5: Solve for x
    x = 183,334.81/386.88
  6. Step 6: Final answer
    x = 473.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.