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Finding the Fourth Proportional to 323.41, 482.53 and 288.79

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Solution

The fourth proportional to 323.41, 482.53 and 288.79 is: 430.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.41 : 482.53 = 288.79 : x
  2. Step 2: Convert to fraction form
    323.41/482.53 = 288.79/x
  3. Step 3: Cross multiply
    323.41x = 482.53 × 288.79
  4. Step 4: Simplify right side
    323.41x = 139,349.84
  5. Step 5: Solve for x
    x = 139,349.84/323.41
  6. Step 6: Final answer
    x = 430.88

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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.