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Finding the Fourth Proportional to 497.19, 686.36 and 320.25

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Solution

The fourth proportional to 497.19, 686.36 and 320.25 is: 442.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.19 : 686.36 = 320.25 : x
  2. Step 2: Convert to fraction form
    497.19/686.36 = 320.25/x
  3. Step 3: Cross multiply
    497.19x = 686.36 × 320.25
  4. Step 4: Simplify right side
    497.19x = 219,805.19
  5. Step 5: Solve for x
    x = 219,805.19/497.19
  6. Step 6: Final answer
    x = 442.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.