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Finding the Fourth Proportional to 320.86, 477.99 and 309.24

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Solution

The fourth proportional to 320.86, 477.99 and 309.24 is: 460.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.86 : 477.99 = 309.24 : x
  2. Step 2: Convert to fraction form
    320.86/477.99 = 309.24/x
  3. Step 3: Cross multiply
    320.86x = 477.99 × 309.24
  4. Step 4: Simplify right side
    320.86x = 147,813.63
  5. Step 5: Solve for x
    x = 147,813.63/320.86
  6. Step 6: Final answer
    x = 460.68

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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.