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Finding the Fourth Proportional to 320.59, 482.69 and 282.32

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Solution

The fourth proportional to 320.59, 482.69 and 282.32 is: 425.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.59 : 482.69 = 282.32 : x
  2. Step 2: Convert to fraction form
    320.59/482.69 = 282.32/x
  3. Step 3: Cross multiply
    320.59x = 482.69 × 282.32
  4. Step 4: Simplify right side
    320.59x = 136,273.14
  5. Step 5: Solve for x
    x = 136,273.14/320.59
  6. Step 6: Final answer
    x = 425.07

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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.