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Finding the Fourth Proportional to 457.64, 685.53 and 240.75

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Solution

The fourth proportional to 457.64, 685.53 and 240.75 is: 360.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.64 : 685.53 = 240.75 : x
  2. Step 2: Convert to fraction form
    457.64/685.53 = 240.75/x
  3. Step 3: Cross multiply
    457.64x = 685.53 × 240.75
  4. Step 4: Simplify right side
    457.64x = 165,041.35
  5. Step 5: Solve for x
    x = 165,041.35/457.64
  6. Step 6: Final answer
    x = 360.64

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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.