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Finding the Fourth Proportional to 313.29, 432.60 and 248.08

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Solution

The fourth proportional to 313.29, 432.60 and 248.08 is: 342.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.29 : 432.60 = 248.08 : x
  2. Step 2: Convert to fraction form
    313.29/432.60 = 248.08/x
  3. Step 3: Cross multiply
    313.29x = 432.60 × 248.08
  4. Step 4: Simplify right side
    313.29x = 107,319.41
  5. Step 5: Solve for x
    x = 107,319.41/313.29
  6. Step 6: Final answer
    x = 342.56

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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.