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Finding the Fourth Proportional to 289.71, 430.83 and 280.59

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Solution

The fourth proportional to 289.71, 430.83 and 280.59 is: 417.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.71 : 430.83 = 280.59 : x
  2. Step 2: Convert to fraction form
    289.71/430.83 = 280.59/x
  3. Step 3: Cross multiply
    289.71x = 430.83 × 280.59
  4. Step 4: Simplify right side
    289.71x = 120,886.59
  5. Step 5: Solve for x
    x = 120,886.59/289.71
  6. Step 6: Final answer
    x = 417.27

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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.