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Finding the Fourth Proportional to 287.88, 430.07 and 230.24

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Solution

The fourth proportional to 287.88, 430.07 and 230.24 is: 343.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.88 : 430.07 = 230.24 : x
  2. Step 2: Convert to fraction form
    287.88/430.07 = 230.24/x
  3. Step 3: Cross multiply
    287.88x = 430.07 × 230.24
  4. Step 4: Simplify right side
    287.88x = 99,020.86
  5. Step 5: Solve for x
    x = 99,020.86/287.88
  6. Step 6: Final answer
    x = 343.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.