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Finding the Fourth Proportional to 345.69, 521.12 and 322.78

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Solution

The fourth proportional to 345.69, 521.12 and 322.78 is: 486.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.69 : 521.12 = 322.78 : x
  2. Step 2: Convert to fraction form
    345.69/521.12 = 322.78/x
  3. Step 3: Cross multiply
    345.69x = 521.12 × 322.78
  4. Step 4: Simplify right side
    345.69x = 168,207.11
  5. Step 5: Solve for x
    x = 168,207.11/345.69
  6. Step 6: Final answer
    x = 486.58

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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.