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Finding the Fourth Proportional to 286.93, 430.14 and 184.27

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Solution

The fourth proportional to 286.93, 430.14 and 184.27 is: 276.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.93 : 430.14 = 184.27 : x
  2. Step 2: Convert to fraction form
    286.93/430.14 = 184.27/x
  3. Step 3: Cross multiply
    286.93x = 430.14 × 184.27
  4. Step 4: Simplify right side
    286.93x = 79,261.90
  5. Step 5: Solve for x
    x = 79,261.90/286.93
  6. Step 6: Final answer
    x = 276.24

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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.