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Finding the Fourth Proportional to 314.42, 434.03 and 259.34

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Solution

The fourth proportional to 314.42, 434.03 and 259.34 is: 357.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.42 : 434.03 = 259.34 : x
  2. Step 2: Convert to fraction form
    314.42/434.03 = 259.34/x
  3. Step 3: Cross multiply
    314.42x = 434.03 × 259.34
  4. Step 4: Simplify right side
    314.42x = 112,557.87
  5. Step 5: Solve for x
    x = 112,557.87/314.42
  6. Step 6: Final answer
    x = 357.99

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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.