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Finding the Fourth Proportional to 288.95, 431.82 and 234.90

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Solution

The fourth proportional to 288.95, 431.82 and 234.90 is: 351.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.95 : 431.82 = 234.90 : x
  2. Step 2: Convert to fraction form
    288.95/431.82 = 234.90/x
  3. Step 3: Cross multiply
    288.95x = 431.82 × 234.90
  4. Step 4: Simplify right side
    288.95x = 101,434.52
  5. Step 5: Solve for x
    x = 101,434.52/288.95
  6. Step 6: Final answer
    x = 351.05

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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.