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Finding the Fourth Proportional to 320.52, 478.95 and 309

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Solution

The fourth proportional to 320.52, 478.95 and 309 is: 461.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.52 : 478.95 = 309 : x
  2. Step 2: Convert to fraction form
    320.52/478.95 = 309/x
  3. Step 3: Cross multiply
    320.52x = 478.95 × 309
  4. Step 4: Simplify right side
    320.52x = 147,995.55
  5. Step 5: Solve for x
    x = 147,995.55/320.52
  6. Step 6: Final answer
    x = 461.74

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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.