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Finding the Fourth Proportional to 323.57, 482.56 and 307.46

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Solution

The fourth proportional to 323.57, 482.56 and 307.46 is: 458.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.57 : 482.56 = 307.46 : x
  2. Step 2: Convert to fraction form
    323.57/482.56 = 307.46/x
  3. Step 3: Cross multiply
    323.57x = 482.56 × 307.46
  4. Step 4: Simplify right side
    323.57x = 148,368.34
  5. Step 5: Solve for x
    x = 148,368.34/323.57
  6. Step 6: Final answer
    x = 458.53

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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.