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Finding the Fourth Proportional to 287.37, 431.06 and 70.95

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Solution

The fourth proportional to 287.37, 431.06 and 70.95 is: 106.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.37 : 431.06 = 70.95 : x
  2. Step 2: Convert to fraction form
    287.37/431.06 = 70.95/x
  3. Step 3: Cross multiply
    287.37x = 431.06 × 70.95
  4. Step 4: Simplify right side
    287.37x = 30,581.74
  5. Step 5: Solve for x
    x = 30,581.74/287.37
  6. Step 6: Final answer
    x = 106.42

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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.