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Finding the Fourth Proportional to 287.24, 430.84 and 239.04

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Solution

The fourth proportional to 287.24, 430.84 and 239.04 is: 358.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.24 : 430.84 = 239.04 : x
  2. Step 2: Convert to fraction form
    287.24/430.84 = 239.04/x
  3. Step 3: Cross multiply
    287.24x = 430.84 × 239.04
  4. Step 4: Simplify right side
    287.24x = 102,987.99
  5. Step 5: Solve for x
    x = 102,987.99/287.24
  6. Step 6: Final answer
    x = 358.54

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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.