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Finding the Fourth Proportional to 288.63, 431.01 and 265.59

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Solution

The fourth proportional to 288.63, 431.01 and 265.59 is: 396.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.63 : 431.01 = 265.59 : x
  2. Step 2: Convert to fraction form
    288.63/431.01 = 265.59/x
  3. Step 3: Cross multiply
    288.63x = 431.01 × 265.59
  4. Step 4: Simplify right side
    288.63x = 114,471.95
  5. Step 5: Solve for x
    x = 114,471.95/288.63
  6. Step 6: Final answer
    x = 396.60

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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.