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Finding the Fourth Proportional to 548.10, 756.23 and 315.23

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Solution

The fourth proportional to 548.10, 756.23 and 315.23 is: 434.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.10 : 756.23 = 315.23 : x
  2. Step 2: Convert to fraction form
    548.10/756.23 = 315.23/x
  3. Step 3: Cross multiply
    548.10x = 756.23 × 315.23
  4. Step 4: Simplify right side
    548.10x = 238,381.03
  5. Step 5: Solve for x
    x = 238,381.03/548.10
  6. Step 6: Final answer
    x = 434.92

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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.