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Finding the Fourth Proportional to 287.54, 430.47 and 282.42

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Solution

The fourth proportional to 287.54, 430.47 and 282.42 is: 422.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.54 : 430.47 = 282.42 : x
  2. Step 2: Convert to fraction form
    287.54/430.47 = 282.42/x
  3. Step 3: Cross multiply
    287.54x = 430.47 × 282.42
  4. Step 4: Simplify right side
    287.54x = 121,573.34
  5. Step 5: Solve for x
    x = 121,573.34/287.54
  6. Step 6: Final answer
    x = 422.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.