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Finding the Fourth Proportional to 287.61, 429.62 and 282.75

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Solution

The fourth proportional to 287.61, 429.62 and 282.75 is: 422.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.61 : 429.62 = 282.75 : x
  2. Step 2: Convert to fraction form
    287.61/429.62 = 282.75/x
  3. Step 3: Cross multiply
    287.61x = 429.62 × 282.75
  4. Step 4: Simplify right side
    287.61x = 121,475.06
  5. Step 5: Solve for x
    x = 121,475.06/287.61
  6. Step 6: Final answer
    x = 422.36

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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.