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Finding the Fourth Proportional to 287.29, 431.01 and 184.63

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Solution

The fourth proportional to 287.29, 431.01 and 184.63 is: 276.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.29 : 431.01 = 184.63 : x
  2. Step 2: Convert to fraction form
    287.29/431.01 = 184.63/x
  3. Step 3: Cross multiply
    287.29x = 431.01 × 184.63
  4. Step 4: Simplify right side
    287.29x = 79,575.22
  5. Step 5: Solve for x
    x = 79,575.22/287.29
  6. Step 6: Final answer
    x = 276.99

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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.