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Finding the Fourth Proportional to 287.41, 431.10 and 95.02

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Solution

The fourth proportional to 287.41, 431.10 and 95.02 is: 142.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.41 : 431.10 = 95.02 : x
  2. Step 2: Convert to fraction form
    287.41/431.10 = 95.02/x
  3. Step 3: Cross multiply
    287.41x = 431.10 × 95.02
  4. Step 4: Simplify right side
    287.41x = 40,963.12
  5. Step 5: Solve for x
    x = 40,963.12/287.41
  6. Step 6: Final answer
    x = 142.53

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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.