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Finding the Fourth Proportional to 317.92, 478.84 and 302.56

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Solution

The fourth proportional to 317.92, 478.84 and 302.56 is: 455.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.92 : 478.84 = 302.56 : x
  2. Step 2: Convert to fraction form
    317.92/478.84 = 302.56/x
  3. Step 3: Cross multiply
    317.92x = 478.84 × 302.56
  4. Step 4: Simplify right side
    317.92x = 144,877.83
  5. Step 5: Solve for x
    x = 144,877.83/317.92
  6. Step 6: Final answer
    x = 455.71

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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.