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Finding the Fourth Proportional to 457.40, 685.80 and 240.53

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Solution

The fourth proportional to 457.40, 685.80 and 240.53 is: 360.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.40 : 685.80 = 240.53 : x
  2. Step 2: Convert to fraction form
    457.40/685.80 = 240.53/x
  3. Step 3: Cross multiply
    457.40x = 685.80 × 240.53
  4. Step 4: Simplify right side
    457.40x = 164,952.05
  5. Step 5: Solve for x
    x = 164,952.05/457.40
  6. Step 6: Final answer
    x = 360.63

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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.