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Finding the Fourth Proportional to 313.57, 432.43 and 248.23

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Solution

The fourth proportional to 313.57, 432.43 and 248.23 is: 342.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.57 : 432.43 = 248.23 : x
  2. Step 2: Convert to fraction form
    313.57/432.43 = 248.23/x
  3. Step 3: Cross multiply
    313.57x = 432.43 × 248.23
  4. Step 4: Simplify right side
    313.57x = 107,342.10
  5. Step 5: Solve for x
    x = 107,342.10/313.57
  6. Step 6: Final answer
    x = 342.32

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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.