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Finding the Fourth Proportional to 287.22, 430.81 and 142.94

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Solution

The fourth proportional to 287.22, 430.81 and 142.94 is: 214.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.22 : 430.81 = 142.94 : x
  2. Step 2: Convert to fraction form
    287.22/430.81 = 142.94/x
  3. Step 3: Cross multiply
    287.22x = 430.81 × 142.94
  4. Step 4: Simplify right side
    287.22x = 61,579.98
  5. Step 5: Solve for x
    x = 61,579.98/287.22
  6. Step 6: Final answer
    x = 214.40

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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.