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Finding the Fourth Proportional to 287.44, 430.68 and 150.28

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Solution

The fourth proportional to 287.44, 430.68 and 150.28 is: 225.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.44 : 430.68 = 150.28 : x
  2. Step 2: Convert to fraction form
    287.44/430.68 = 150.28/x
  3. Step 3: Cross multiply
    287.44x = 430.68 × 150.28
  4. Step 4: Simplify right side
    287.44x = 64,722.59
  5. Step 5: Solve for x
    x = 64,722.59/287.44
  6. Step 6: Final answer
    x = 225.17

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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.