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Finding the Fourth Proportional to 314.88, 434.60 and 253.12

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Solution

The fourth proportional to 314.88, 434.60 and 253.12 is: 349.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.88 : 434.60 = 253.12 : x
  2. Step 2: Convert to fraction form
    314.88/434.60 = 253.12/x
  3. Step 3: Cross multiply
    314.88x = 434.60 × 253.12
  4. Step 4: Simplify right side
    314.88x = 110,005.95
  5. Step 5: Solve for x
    x = 110,005.95/314.88
  6. Step 6: Final answer
    x = 349.36

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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.