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Finding the Fourth Proportional to 385.68, 531.84 and 320.16

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Solution

The fourth proportional to 385.68, 531.84 and 320.16 is: 441.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.68 : 531.84 = 320.16 : x
  2. Step 2: Convert to fraction form
    385.68/531.84 = 320.16/x
  3. Step 3: Cross multiply
    385.68x = 531.84 × 320.16
  4. Step 4: Simplify right side
    385.68x = 170,273.89
  5. Step 5: Solve for x
    x = 170,273.89/385.68
  6. Step 6: Final answer
    x = 441.49

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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.