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Finding the Fourth Proportional to 288.68, 433.08 and 256.55

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Solution

The fourth proportional to 288.68, 433.08 and 256.55 is: 384.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.68 : 433.08 = 256.55 : x
  2. Step 2: Convert to fraction form
    288.68/433.08 = 256.55/x
  3. Step 3: Cross multiply
    288.68x = 433.08 × 256.55
  4. Step 4: Simplify right side
    288.68x = 111,104.51
  5. Step 5: Solve for x
    x = 111,104.51/288.68
  6. Step 6: Final answer
    x = 384.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.