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Finding the Fourth Proportional to 314.58, 434.36 and 252.77

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Solution

The fourth proportional to 314.58, 434.36 and 252.77 is: 349.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.58 : 434.36 = 252.77 : x
  2. Step 2: Convert to fraction form
    314.58/434.36 = 252.77/x
  3. Step 3: Cross multiply
    314.58x = 434.36 × 252.77
  4. Step 4: Simplify right side
    314.58x = 109,794.08
  5. Step 5: Solve for x
    x = 109,794.08/314.58
  6. Step 6: Final answer
    x = 349.01

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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.