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Finding the Fourth Proportional to 345.49, 520.82 and 322.57

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Solution

The fourth proportional to 345.49, 520.82 and 322.57 is: 486.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.49 : 520.82 = 322.57 : x
  2. Step 2: Convert to fraction form
    345.49/520.82 = 322.57/x
  3. Step 3: Cross multiply
    345.49x = 520.82 × 322.57
  4. Step 4: Simplify right side
    345.49x = 168,001.16
  5. Step 5: Solve for x
    x = 168,001.16/345.49
  6. Step 6: Final answer
    x = 486.27

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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.