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Finding the Fourth Proportional to 288.50, 430.54 and 281.20

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Solution

The fourth proportional to 288.50, 430.54 and 281.20 is: 419.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.50 : 430.54 = 281.20 : x
  2. Step 2: Convert to fraction form
    288.50/430.54 = 281.20/x
  3. Step 3: Cross multiply
    288.50x = 430.54 × 281.20
  4. Step 4: Simplify right side
    288.50x = 121,067.85
  5. Step 5: Solve for x
    x = 121,067.85/288.50
  6. Step 6: Final answer
    x = 419.65

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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.