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Finding the Fourth Proportional to 433.56, 598.52 and 278.40

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Solution

The fourth proportional to 433.56, 598.52 and 278.40 is: 384.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.56 : 598.52 = 278.40 : x
  2. Step 2: Convert to fraction form
    433.56/598.52 = 278.40/x
  3. Step 3: Cross multiply
    433.56x = 598.52 × 278.40
  4. Step 4: Simplify right side
    433.56x = 166,627.97
  5. Step 5: Solve for x
    x = 166,627.97/433.56
  6. Step 6: Final answer
    x = 384.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.