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Finding the Fourth Proportional to 288.61, 431.11 and 283.75

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Solution

The fourth proportional to 288.61, 431.11 and 283.75 is: 423.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.61 : 431.11 = 283.75 : x
  2. Step 2: Convert to fraction form
    288.61/431.11 = 283.75/x
  3. Step 3: Cross multiply
    288.61x = 431.11 × 283.75
  4. Step 4: Simplify right side
    288.61x = 122,327.46
  5. Step 5: Solve for x
    x = 122,327.46/288.61
  6. Step 6: Final answer
    x = 423.85

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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.