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Finding the Fourth Proportional to 287.25, 430.86 and 70.82

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Solution

The fourth proportional to 287.25, 430.86 and 70.82 is: 106.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.25 : 430.86 = 70.82 : x
  2. Step 2: Convert to fraction form
    287.25/430.86 = 70.82/x
  3. Step 3: Cross multiply
    287.25x = 430.86 × 70.82
  4. Step 4: Simplify right side
    287.25x = 30,513.51
  5. Step 5: Solve for x
    x = 30,513.51/287.25
  6. Step 6: Final answer
    x = 106.23

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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.