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Finding the Fourth Proportional to 287.22, 430.47 and 142.98

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Solution

The fourth proportional to 287.22, 430.47 and 142.98 is: 214.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.22 : 430.47 = 142.98 : x
  2. Step 2: Convert to fraction form
    287.22/430.47 = 142.98/x
  3. Step 3: Cross multiply
    287.22x = 430.47 × 142.98
  4. Step 4: Simplify right side
    287.22x = 61,548.60
  5. Step 5: Solve for x
    x = 61,548.60/287.22
  6. Step 6: Final answer
    x = 214.29

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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.