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Finding the Fourth Proportional to 323.47, 482.71 and 288.86

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Solution

The fourth proportional to 323.47, 482.71 and 288.86 is: 431.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.47 : 482.71 = 288.86 : x
  2. Step 2: Convert to fraction form
    323.47/482.71 = 288.86/x
  3. Step 3: Cross multiply
    323.47x = 482.71 × 288.86
  4. Step 4: Simplify right side
    323.47x = 139,435.61
  5. Step 5: Solve for x
    x = 139,435.61/323.47
  6. Step 6: Final answer
    x = 431.06

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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.