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Finding the Fourth Proportional to 320.93, 478.63 and 315.17

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Solution

The fourth proportional to 320.93, 478.63 and 315.17 is: 470.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.93 : 478.63 = 315.17 : x
  2. Step 2: Convert to fraction form
    320.93/478.63 = 315.17/x
  3. Step 3: Cross multiply
    320.93x = 478.63 × 315.17
  4. Step 4: Simplify right side
    320.93x = 150,849.82
  5. Step 5: Solve for x
    x = 150,849.82/320.93
  6. Step 6: Final answer
    x = 470.04

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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.