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Finding the Fourth Proportional to 287, 430.30 and 142.82

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Solution

The fourth proportional to 287, 430.30 and 142.82 is: 214.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    287 : 430.30 = 142.82 : x
  2. Step 2: Convert to fraction form
    287/430.30 = 142.82/x
  3. Step 3: Cross multiply
    287x = 430.30 × 142.82
  4. Step 4: Simplify right side
    287x = 61,455.45
  5. Step 5: Solve for x
    x = 61,455.45/287
  6. Step 6: Final answer
    x = 214.13

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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.