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Finding the Fourth Proportional to 433.68, 598.42 and 256.60

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Solution

The fourth proportional to 433.68, 598.42 and 256.60 is: 354.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.68 : 598.42 = 256.60 : x
  2. Step 2: Convert to fraction form
    433.68/598.42 = 256.60/x
  3. Step 3: Cross multiply
    433.68x = 598.42 × 256.60
  4. Step 4: Simplify right side
    433.68x = 153,554.57
  5. Step 5: Solve for x
    x = 153,554.57/433.68
  6. Step 6: Final answer
    x = 354.07

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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.