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Finding the Fourth Proportional to 313.88, 432.95 and 248.36

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Solution

The fourth proportional to 313.88, 432.95 and 248.36 is: 342.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.88 : 432.95 = 248.36 : x
  2. Step 2: Convert to fraction form
    313.88/432.95 = 248.36/x
  3. Step 3: Cross multiply
    313.88x = 432.95 × 248.36
  4. Step 4: Simplify right side
    313.88x = 107,527.46
  5. Step 5: Solve for x
    x = 107,527.46/313.88
  6. Step 6: Final answer
    x = 342.58

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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.